200131213313031 has 384 divisors, whose sum is σ = 384570682122240. Its totient is φ = 89722312243200.

The previous prime is 200131213313021. The next prime is 200131213313051. The reversal of 200131213313031 is 130313312131002.

It is not a de Polignac number, because 200131213313031 - 2⁶ = 200131213312967 is a prime.

It is a super-2 number, since 2×200131213313031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200131213312992 and 200131213313010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200131213313011) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8838535396 + ... + 8838558038.

It is an arithmetic number, because the mean of its divisors is an integer number (1001486151360).

Almost surely, 2^{200131213313031} is an apocalyptic number.

200131213313031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200131213313031 is a deficient number, since it is larger than the sum of its proper divisors (184439468809209).

200131213313031 is a wasteful number, since it uses less digits than its factorization.

200131213313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22967 (or 22954 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 200131213313031 its reverse (130313312131002), we get a palindrome (330444525444033).

The spelling of 200131213313031 in words is "two hundred trillion, one hundred thirty-one billion, two hundred thirteen million, three hundred thirteen thousand, thirty-one".