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13134232402031 = 1323259711074261
BaseRepresentation
bin1011111100100000110101…
…0000011011100001101111
31201111121202020110002000002
42333020031100123201233
53210142401443331111
643533441050454515
72523626344241306
oct277101520334157
951447666402002
1013134232402031
114204218867144
121581603a3443b
13743725672040
143359b365d43d
1517b9b8d7a63b
hexbf20d41b86f

13134232402031 has 96 divisors (see below), whose sum is σ = 15394802250240. Its totient is φ = 11132001619200.

The previous prime is 13134232402013. The next prime is 13134232402043. The reversal of 13134232402031 is 13020423243131.

It is not a de Polignac number, because 13134232402031 - 218 = 13134232139887 is a prime.

It is a super-2 number, since 2×131342324020312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13134232401985 and 13134232402003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134232402091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3082427441 + ... + 3082431701.

It is an arithmetic number, because the mean of its divisors is an integer number (160362523440).

Almost surely, 213134232402031 is an apocalyptic number.

13134232402031 is a deficient number, since it is larger than the sum of its proper divisors (2260569848209).

13134232402031 is a wasteful number, since it uses less digits than its factorization.

13134232402031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13134232402031 its reverse (13020423243131), we get a palindrome (26154655645162).

The spelling of 13134232402031 in words is "thirteen trillion, one hundred thirty-four billion, two hundred thirty-two million, four hundred two thousand, thirty-one".

Divisors: 1 13 23 59 71 107 299 529 767 923 1357 1391 1633 2461 4189 4261 6313 6877 7597 17641 21229 31211 31993 37559 54457 55393 56603 82069 96347 98003 98761 145199 174731 251399 302531 405743 448223 455927 488267 735839 1252511 1274039 1887587 2215981 2254069 2271503 3268187 3339577 3932903 4018813 5782177 5826899 5927051 6958213 10309129 10486321 17849329 26899693 28807753 29302897 32370817 43414501 52244569 75168301 90456769 132990071 134018677 136322173 160038899 232041277 237109967 241185383 349696009 410534567 420820621 618692939 744528791 1728870923 1909878203 2080505687 3082429571 3135409979 5336949371 8043008207 9442295041 9678874283 14229937597 17124162193 24828416639 43927198669 122749835533 184989188761 222614108509 571053582697 1010325569387 13134232402031