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13132300131 = 3217274931223
BaseRepresentation
bin11000011101011111…
…01111111101100011
31020220012201222010100
430032233233331203
5203343332101011
610011034433443
7643300465206
oct141657577543
936805658110
1013132300131
115629928505
122665b92883
1313139143c2
148c816793d
1551cd86d56
hex30ebeff63

13132300131 has 24 divisors (see below), whose sum is σ = 20092644000. Its totient is φ = 8236613376.

The previous prime is 13132300109. The next prime is 13132300151. The reversal of 13132300131 is 13100323131.

It is a happy number.

It is not a de Polignac number, because 13132300131 - 27 = 13132300003 is a prime.

It is a super-3 number, since 3×131323001313 (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 (13132300151) 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 23 ways as a sum of consecutive naturals, for example, 404986 + ... + 436208.

It is an arithmetic number, because the mean of its divisors is an integer number (837193500).

Almost surely, 213132300131 is an apocalyptic number.

13132300131 is a deficient number, since it is larger than the sum of its proper divisors (6960343869).

13132300131 is a wasteful number, since it uses less digits than its factorization.

13132300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33995 (or 33992 counting only the distinct ones).

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

Adding to 13132300131 its reverse (13100323131), we get a palindrome (26232623262).

The spelling of 13132300131 in words is "thirteen billion, one hundred thirty-two million, three hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 2749 8247 24741 31223 46733 93669 140199 281007 420597 530791 1592373 4777119 85832027 257496081 772488243 1459144459 4377433377 13132300131