10101331112313 has 96 divisors (see below), whose sum is σ = 16455152160000. Its totient is φ = 5485274049024.

The previous prime is 10101331112251. The next prime is 10101331112321. The reversal of 10101331112313 is 31321113310101.

10101331112313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101331112313 - 2²² = 10101326918009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10101331112313.

It is not an unprimeable number, because it can be changed into a prime (10101331112363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906024663 + ... + 906035811.

It is an arithmetic number, because the mean of its divisors is an integer number (171407835000).

Almost surely, 2^{10101331112313} is an apocalyptic number.

It is an amenable number.

10101331112313 is a deficient number, since it is larger than the sum of its proper divisors (6353821047687).

10101331112313 is a wasteful number, since it uses less digits than its factorization.

10101331112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12911 (or 12904 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 10101331112313 its reverse (31321113310101), we get a palindrome (41422444422414).

The spelling of 10101331112313 in words is "ten trillion, one hundred one billion, three hundred thirty-one million, one hundred twelve thousand, three hundred thirteen".