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131102013313 = 6119919935419
BaseRepresentation
bin111101000011001001…
…0011111011110000001
3110112101201120022200201
41322012102133132001
54121444103411223
6140121043045201
712320554504105
oct1720622373601
9415351508621
10131102013313
115066673a037
12214a9970801
13c4942aba0b
1464b99ad905
153624995ead
hex1e8649f781

131102013313 has 16 divisors (see below), whose sum is σ = 134012752000. Its totient is φ = 128216753280.

The previous prime is 131102013271. The next prime is 131102013331. The reversal of 131102013313 is 313310201131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131102013313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131102013353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24190318 + ... + 24195736.

It is an arithmetic number, because the mean of its divisors is an integer number (8375797000).

Almost surely, 2131102013313 is an apocalyptic number.

It is an amenable number.

131102013313 is a deficient number, since it is larger than the sum of its proper divisors (2910738687).

131102013313 is a wasteful number, since it uses less digits than its factorization.

131102013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131102013313 its reverse (313310201131), we get a palindrome (444412214444).

The spelling of 131102013313 in words is "one hundred thirty-one billion, one hundred two million, thirteen thousand, three hundred thirteen".

Divisors: 1 61 199 1993 5419 12139 121573 330559 396607 1078381 10800067 24193027 65781241 658804087 2149213333 131102013313