20413165351131 has 160 divisors (see below), whose sum is σ = 35869130035200. Its totient is φ = 11328824851200.

The previous prime is 20413165351121. The next prime is 20413165351207. The reversal of 20413165351131 is 13115356131402.

20413165351131 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 1 + 6 + 535 + 113 + 1 = 666.

It is not a de Polignac number, because 20413165351131 - 2⁶ = 20413165351067 is a prime.

It is a super-3 number, since 3×20413165351131³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20413165351121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1618416381 + ... + 1618428993.

It is an arithmetic number, because the mean of its divisors is an integer number (224182062720).

Almost surely, 2^{20413165351131} is an apocalyptic number.

20413165351131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20413165351131 is a deficient number, since it is larger than the sum of its proper divisors (15455964684069).

20413165351131 is a wasteful number, since it uses less digits than its factorization.

20413165351131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13271 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 20413165351131 in words is "twenty trillion, four hundred thirteen billion, one hundred sixty-five million, three hundred fifty-one thousand, one hundred thirty-one".