101331322113 has 32 divisors (see below), whose sum is σ = 155875864320. Its totient is φ = 57354117120.

The previous prime is 101331322093. The next prime is 101331322121. The reversal of 101331322113 is 311223133101.

It is a happy number.

It is not a de Polignac number, because 101331322113 - 2⁹ = 101331321601 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 101331322113.

It is not an unprimeable number, because it can be changed into a prime (101331322193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10801681 + ... + 10811057.

It is an arithmetic number, because the mean of its divisors is an integer number (4871120760).

Almost surely, 2^101331322113 is an apocalyptic number.

It is an amenable number.

101331322113 is a deficient number, since it is larger than the sum of its proper divisors (54544542207).

101331322113 is a wasteful number, since it uses less digits than its factorization.

101331322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101331322113 its reverse (311223133101), we get a palindrome (412554455214).

The spelling of 101331322113 in words is "one hundred one billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred thirteen".