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13310032131 = 3311472114519
BaseRepresentation
bin11000110010101011…
…01111100100000011
31021100121011200121000
430121111233210003
5204224332012011
610040424103043
7650556256254
oct143125574403
937317150530
1013310032131
115710191160
1226b5604a83
1313416a2b76
149039d0b2b
1552d793356
hex31956f903

13310032131 has 64 divisors (see below), whose sum is σ = 22077849600. Its totient is φ = 7855898400.

The previous prime is 13310032117. The next prime is 13310032193. The reversal of 13310032131 is 13123001331.

It is a happy number.

13310032131 is a `hidden beast` number, since 1 + 3 + 310 + 0 + 321 + 31 = 666.

13310032131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13310032131 - 221 = 13307934979 is a prime.

It is a super-3 number, since 3×133100321313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13310030131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2943090 + ... + 2947608.

It is an arithmetic number, because the mean of its divisors is an integer number (344966400).

Almost surely, 213310032131 is an apocalyptic number.

13310032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310032131 is a deficient number, since it is larger than the sum of its proper divisors (8767817469).

13310032131 is a wasteful number, since it uses less digits than its factorization.

13310032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310032131 its reverse (13123001331), we get a palindrome (26433033462).

The spelling of 13310032131 in words is "thirteen billion, three hundred ten million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 47 99 141 211 297 423 517 633 1269 1551 1899 2321 4519 4653 5697 6963 9917 13557 13959 20889 29751 40671 49709 62667 89253 109087 122013 149127 212393 267759 327261 447381 637179 953509 981783 1342143 1911537 2336323 2860527 2945349 5734611 7008969 8581581 10488599 21026907 25744743 31465797 44814923 63080721 94397391 134444769 283192173 403334307 492964153 1210002921 1478892459 4436677377 13310032131