313132102101113 has 2 divisors, whose sum is σ = 313132102101114. Its totient is φ = 313132102101112.

The previous prime is 313132102101103. The next prime is 313132102101151. The reversal of 313132102101113 is 311101201231313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196137420078649 + 116994682022464 = 14004907^2 + 10816408^2 .

It is a cyclic number.

It is not a de Polignac number, because 313132102101113 - 2²⁸ = 313131833665657 is a prime.

It is not a weakly prime, because it can be changed into another prime (313132102101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566051050556 + 156566051050557.

It is an arithmetic number, because the mean of its divisors is an integer number (156566051050557).

Almost surely, 2^{313132102101113} is an apocalyptic number.

It is an amenable number.

313132102101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

313132102101113 is an equidigital number, since it uses as much as digits as its factorization.

313132102101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 313132102101113 its reverse (311101201231313), we get a palindrome (624233303332426).

The spelling of 313132102101113 in words is "three hundred thirteen trillion, one hundred thirty-two billion, one hundred two million, one hundred one thousand, one hundred thirteen".