101331010310313 has 16 divisors (see below), whose sum is σ = 154492758604800. Its totient is φ = 57872084449296.

The previous prime is 101331010310293. The next prime is 101331010310363. The reversal of 101331010310313 is 313013010133101.

It is not a de Polignac number, because 101331010310313 - 2⁶ = 101331010310249 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101331010310313.

It is not an unprimeable number, because it can be changed into a prime (101331010310363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306210863 + ... + 1306288436.

It is an arithmetic number, because the mean of its divisors is an integer number (9655797412800).

Almost surely, 2^{101331010310313} is an apocalyptic number.

It is an amenable number.

101331010310313 is a deficient number, since it is larger than the sum of its proper divisors (53161748294487).

101331010310313 is a wasteful number, since it uses less digits than its factorization.

101331010310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612501156.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 101331010310313 its reverse (313013010133101), we get a palindrome (414344020443414).

The spelling of 101331010310313 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, three hundred ten thousand, three hundred thirteen".