101311312113 has 32 divisors (see below), whose sum is σ = 163840696320. Its totient is φ = 61361329680.

The previous prime is 101311312103. The next prime is 101311312121. The reversal of 101311312113 is 311213113101.

It is not a de Polignac number, because 101311312113 - 2⁶ = 101311312049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101311312103) 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 31 ways as a sum of consecutive naturals, for example, 356556 + ... + 574242.

It is an arithmetic number, because the mean of its divisors is an integer number (5120021760).

Almost surely, 2^101311312113 is an apocalyptic number.

It is an amenable number.

101311312113 is a deficient number, since it is larger than the sum of its proper divisors (62529384207).

101311312113 is a wasteful number, since it uses less digits than its factorization.

101311312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219274 (or 219268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101311312113 its reverse (311213113101), we get a palindrome (412524425214).

The spelling of 101311312113 in words is "one hundred one billion, three hundred eleven million, three hundred twelve thousand, one hundred thirteen".