310021202120013 has 12 divisors (see below), whose sum is σ = 459911332875228. Its totient is φ = 201094833807360.

The previous prime is 310021202120011. The next prime is 310021202120023.

310021202120013 is a `hidden beast` number, since 310 + 0 + 2 + 120 + 21 + 200 + 13 = 666.

310021202120013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 265669038613449 + 44352163506564 = 16299357^2 + 6659742^2 .

It is not a de Polignac number, because 310021202120013 - 2¹ = 310021202120011 is a prime.

It is a super-2 number, since 2×310021202120013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310021202120011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465497300148 + ... + 465497300813.

It is an arithmetic number, because the mean of its divisors is an integer number (38325944406269).

Almost surely, 2^{310021202120013} is an apocalyptic number.

It is an amenable number.

310021202120013 is a deficient number, since it is larger than the sum of its proper divisors (149890130755215).

310021202120013 is a wasteful number, since it uses less digits than its factorization.

310021202120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930994601004 (or 930994601001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 31002120 and 2120013, that added together give a palindrome (33122133).

The spelling of 310021202120013 in words is "three hundred ten trillion, twenty-one billion, two hundred two million, one hundred twenty thousand, thirteen".