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13132323322101 = 35316726019491
BaseRepresentation
bin1011111100011001101101…
…1101110111100011110101
31201111102211012011202200000
42333012123131313203311
53210124444232301401
643532523412341513
72523531133313514
oct277063335674365
951442735152600
1013132323322101
11420342917a135
121581170614899
137434accac649
14335871cb067b
1517b906477186
hexbf19b7778f5

13132323322101 has 48 divisors (see below), whose sum is σ = 20609102911488. Its totient is φ = 8346011612400.

The previous prime is 13132323322093. The next prime is 13132323322109. The reversal of 13132323322101 is 10122332323131.

13132323322101 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 323 + 322 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13132323322093) and next prime (13132323322109).

It is not a de Polignac number, because 13132323322101 - 23 = 13132323322093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132323322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12505035 + ... + 13514456.

It is an arithmetic number, because the mean of its divisors is an integer number (429356310656).

Almost surely, 213132323322101 is an apocalyptic number.

It is an amenable number.

13132323322101 is a deficient number, since it is larger than the sum of its proper divisors (7476779589387).

13132323322101 is an equidigital number, since it uses as much as digits as its factorization.

13132323322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26019604 (or 26019592 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13132323322101 its reverse (10122332323131), we get a palindrome (23254655645232).

The spelling of 13132323322101 in words is "thirteen trillion, one hundred thirty-two billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 27 31 67 81 93 201 243 279 603 837 1809 2077 2511 5427 6231 7533 16281 18693 56079 168237 504711 26019491 78058473 234175419 702526257 806604221 1743305897 2107578771 2419812663 5229917691 6322736313 7259437989 15689753073 21778313967 47069259219 54042482807 65334941901 141207777657 162127448421 196004825703 423623332971 486382345263 1459147035789 4377441107367 13132323322101