100210032013 has 16 divisors (see below), whose sum is σ = 125662513536. Its totient is φ = 77791072320.

The previous prime is 100210032001. The next prime is 100210032017. The reversal of 100210032013 is 310230012001.

It is not a de Polignac number, because 100210032013 - 2²⁵ = 100176477581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100210031984 and 100210032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210032017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10383943 + ... + 10393588.

It is an arithmetic number, because the mean of its divisors is an integer number (7853907096).

Almost surely, 2^100210032013 is an apocalyptic number.

100210032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100210032013 is a deficient number, since it is larger than the sum of its proper divisors (25452481523).

100210032013 is a wasteful number, since it uses less digits than its factorization.

100210032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20777604.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100210032013 its reverse (310230012001), we get a palindrome (410440044014).

The spelling of 100210032013 in words is "one hundred billion, two hundred ten million, thirty-two thousand, thirteen".