101100002013 has 12 divisors (see below), whose sum is σ = 151441978688. Its totient is φ = 67400001180.

The previous prime is 101100001999. The next prime is 101100002023. The reversal of 101100002013 is 310200001101.

It is not a de Polignac number, because 101100002013 - 2⁸ = 101100001757 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100001986 and 101100002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100002023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208024453 + ... + 208024938.

Almost surely, 2^101100002013 is an apocalyptic number.

It is an amenable number.

101100002013 is a deficient number, since it is larger than the sum of its proper divisors (50341976675).

101100002013 is an frugal number, since it uses more digits than its factorization.

101100002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416049406 (or 416049394 counting only the distinct ones).

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

Adding to 101100002013 its reverse (310200001101), we get a palindrome (411300003114).

The spelling of 101100002013 in words is "one hundred one billion, one hundred million, two thousand, thirteen".