101313221013 has 16 divisors (see below), whose sum is σ = 150100153600. Its totient is φ = 67539225600.

The previous prime is 101313220999. The next prime is 101313221033. The reversal of 101313221013 is 310122313101.

It is not a de Polignac number, because 101313221013 - 2⁴ = 101313220997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313221033) 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, 686613 + ... + 821013.

It is an arithmetic number, because the mean of its divisors is an integer number (9381259600).

Almost surely, 2^101313221013 is an apocalyptic number.

It is an amenable number.

101313221013 is a deficient number, since it is larger than the sum of its proper divisors (48786932587).

101313221013 is a wasteful number, since it uses less digits than its factorization.

101313221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162329 (or 162323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101313221013 its reverse (310122313101), we get a palindrome (411435534114).

The spelling of 101313221013 in words is "one hundred one billion, three hundred thirteen million, two hundred twenty-one thousand, thirteen".