100113113019 has 16 divisors (see below), whose sum is σ = 138363840000. Its totient is φ = 64311457056.

The previous prime is 100113113003. The next prime is 100113113063. The reversal of 100113113019 is 910311311001.

It is not a de Polignac number, because 100113113019 - 2⁴ = 100113113003 is a prime.

It is a super-2 number, since 2×100113113019² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100113112986 and 100113113004.

It is not an unprimeable number, because it can be changed into a prime (100113113069) 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, 1109619 + ... + 1196444.

It is an arithmetic number, because the mean of its divisors is an integer number (8647740000).

Almost surely, 2^100113113019 is an apocalyptic number.

100113113019 is a deficient number, since it is larger than the sum of its proper divisors (38250726981).

100113113019 is a wasteful number, since it uses less digits than its factorization.

100113113019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306594.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 100113113019 in words is "one hundred billion, one hundred thirteen million, one hundred thirteen thousand, nineteen".