100020010113 has 16 divisors (see below), whose sum is σ = 148712741760. Its totient is φ = 66439279728.

The previous prime is 100020010099. The next prime is 100020010133. The reversal of 100020010113 is 311010020001.

It is not a de Polignac number, because 100020010113 - 2⁶ = 100020010049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100020010095 and 100020010104.

It is not an unprimeable number, because it can be changed into a prime (100020010133) 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, 6679245 + ... + 6694202.

It is an arithmetic number, because the mean of its divisors is an integer number (9294546360).

Almost surely, 2^100020010113 is an apocalyptic number.

It is an amenable number.

100020010113 is a deficient number, since it is larger than the sum of its proper divisors (48692731647).

100020010113 is a wasteful number, since it uses less digits than its factorization.

100020010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373733 (or 13373727 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100020010113 its reverse (311010020001), we get a palindrome (411030030114).

The spelling of 100020010113 in words is "one hundred billion, twenty million, ten thousand, one hundred thirteen".