101331322003013 has 4 divisors (see below), whose sum is σ = 101511306589728. Its totient is φ = 101151337416300.

The previous prime is 101331322002959. The next prime is 101331322003033. The reversal of 101331322003013 is 310300223133101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101331322003013 - 2²⁴ = 101331305225797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101331322003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331322003033) 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 3 ways as a sum of consecutive naturals, for example, 89992292513 + ... + 89992293638.

It is an arithmetic number, because the mean of its divisors is an integer number (25377826647432).

Almost surely, 2^{101331322003013} is an apocalyptic number.

It is an amenable number.

101331322003013 is a deficient number, since it is larger than the sum of its proper divisors (179984586715).

101331322003013 is an equidigital number, since it uses as much as digits as its factorization.

101331322003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179984586714.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101331322003013 its reverse (310300223133101), we get a palindrome (411631545136114).

The spelling of 101331322003013 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty-two million, three thousand, thirteen".