100032013010 has 64 divisors (see below), whose sum is σ = 191460931200. Its totient is φ = 37522248192.

The previous prime is 100032012923. The next prime is 100032013019. The reversal of 100032013010 is 10310230001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100032012982 and 100032013000.

It is not an unprimeable number, because it can be changed into a prime (100032013019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30711302 + ... + 30714558.

It is an arithmetic number, because the mean of its divisors is an integer number (2991577050).

Almost surely, 2^100032013010 is an apocalyptic number.

100032013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100032013010 is a deficient number, since it is larger than the sum of its proper divisors (91428918190).

100032013010 is a wasteful number, since it uses less digits than its factorization.

100032013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100032013010 its reverse (10310230001), we get a palindrome (110342243011).

The spelling of 100032013010 in words is "one hundred billion, thirty-two million, thirteen thousand, ten".