100010213020013 has 32 divisors (see below), whose sum is σ = 104764778116992. Its totient is φ = 95380002432000.

The previous prime is 100010213020009. The next prime is 100010213020051. The reversal of 100010213020013 is 310020312010001.

It is a cyclic number.

It is not a de Polignac number, because 100010213020013 - 2² = 100010213020009 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 100010213020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010213020093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678186938 + ... + 678334388.

It is an arithmetic number, because the mean of its divisors is an integer number (3273899316156).

Almost surely, 2^{100010213020013} is an apocalyptic number.

It is an amenable number.

100010213020013 is a deficient number, since it is larger than the sum of its proper divisors (4754565096979).

100010213020013 is a wasteful number, since it uses less digits than its factorization.

100010213020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148685.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100010213020013 its reverse (310020312010001), we get a palindrome (410030525030014).

The spelling of 100010213020013 in words is "one hundred trillion, ten billion, two hundred thirteen million, twenty thousand, thirteen".