100164006513 has 20 divisors (see below), whose sum is σ = 149846870448. Its totient is φ = 66678198840.

The previous prime is 100164006491. The next prime is 100164006521. The reversal of 100164006513 is 315600461001.

100164006513 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 4 + 0 + 0 + 651 + 3 = 666.

It is not a de Polignac number, because 100164006513 - 2²¹ = 100161909361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100164006563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849943 + ... + 960588.

Almost surely, 2^100164006513 is an apocalyptic number.

It is an amenable number.

100164006513 is a deficient number, since it is larger than the sum of its proper divisors (49682863935).

100164006513 is an equidigital number, since it uses as much as digits as its factorization.

100164006513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811226 (or 1811217 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100164006513 its reverse (315600461001), we get a palindrome (415764467514).

The spelling of 100164006513 in words is "one hundred billion, one hundred sixty-four million, six thousand, five hundred thirteen".