100013300964 has 96 divisors (see below), whose sum is σ = 274777574400. Its totient is φ = 31403070720.

The previous prime is 100013300963. The next prime is 100013300977. The reversal of 100013300964 is 469003310001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100013300963) 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, 261012 + ... + 517835.

It is an arithmetic number, because the mean of its divisors is an integer number (2862266400).

Almost surely, 2^100013300964 is an apocalyptic number.

It is an amenable number.

100013300964 is an abundant number, since it is smaller than the sum of its proper divisors (174764273436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100013300964 is a wasteful number, since it uses less digits than its factorization.

100013300964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778930 (or 778922 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 100013300964 its reverse (469003310001), we get a palindrome (569016610965).

The spelling of 100013300964 in words is "one hundred billion, thirteen million, three hundred thousand, nine hundred sixty-four".