20100120311013 has 16 divisors (see below), whose sum is σ = 27239671954176. Its totient is φ = 13180327093440.

The previous prime is 20100120310939. The next prime is 20100120311017. The reversal of 20100120311013 is 31011302100102.

It is a happy number.

It is not a de Polignac number, because 20100120311013 - 2²⁰ = 20100119262437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100120310983 and 20100120311001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100120311017) 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, 57127956 + ... + 57478722.

It is an arithmetic number, because the mean of its divisors is an integer number (1702479497136).

Almost surely, 2^{20100120311013} is an apocalyptic number.

It is an amenable number.

20100120311013 is a deficient number, since it is larger than the sum of its proper divisors (7139551643163).

20100120311013 is a wasteful number, since it uses less digits than its factorization.

20100120311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663964.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20100120311013 its reverse (31011302100102), we get a palindrome (51111422411115).

The spelling of 20100120311013 in words is "twenty trillion, one hundred billion, one hundred twenty million, three hundred eleven thousand, thirteen".