100010232013 has 16 divisors (see below), whose sum is σ = 101373834240. Its totient is φ = 98655895296.

The previous prime is 100010232001. The next prime is 100010232107. The reversal of 100010232013 is 310232010001.

It is a cyclic number.

It is not a de Polignac number, because 100010232013 - 2¹³ = 100010223821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010231984 and 100010232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010233013) 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, 49047648 + ... + 49049686.

It is an arithmetic number, because the mean of its divisors is an integer number (6335864640).

Almost surely, 2^100010232013 is an apocalyptic number.

It is an amenable number.

100010232013 is a deficient number, since it is larger than the sum of its proper divisors (1363602227).

100010232013 is a wasteful number, since it uses less digits than its factorization.

100010232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996.

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

Adding to 100010232013 its reverse (310232010001), we get a palindrome (410242242014).

The spelling of 100010232013 in words is "one hundred billion, ten million, two hundred thirty-two thousand, thirteen".