202000302131013 has 32 divisors (see below), whose sum is σ = 316886986840320. Its totient is φ = 126735780487680.

The previous prime is 202000302130993. The next prime is 202000302131083. The reversal of 202000302131013 is 310131203000202.

202000302131013 is a `hidden beast` number, since 20 + 20 + 0 + 0 + 302 + 1 + 310 + 13 = 666.

It is not a de Polignac number, because 202000302131013 - 2¹⁷ = 202000301999941 is a prime.

It is a super-2 number, since 2×202000302131013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202000302131083) 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, 10377073 + ... + 22620438.

It is an arithmetic number, because the mean of its divisors is an integer number (9902718338760).

Almost surely, 2^{202000302131013} is an apocalyptic number.

It is an amenable number.

202000302131013 is a deficient number, since it is larger than the sum of its proper divisors (114886684709307).

202000302131013 is a wasteful number, since it uses less digits than its factorization.

202000302131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33010874 (or 33010868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202000302131013 its reverse (310131203000202), we get a palindrome (512131505131215).

The spelling of 202000302131013 in words is "two hundred two trillion, three hundred two million, one hundred thirty-one thousand, thirteen".