100013313330 has 64 divisors (see below), whose sum is σ = 304802484480. Its totient is φ = 22860185472.

The previous prime is 100013313329. The next prime is 100013313331. The reversal of 100013313330 is 33313310001.

100013313330 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 331 + 3 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (100013313329) and next prime (100013313331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100013313331) 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, 26456659 + ... + 26460438.

It is an arithmetic number, because the mean of its divisors is an integer number (4762538820).

Almost surely, 2^100013313330 is an apocalyptic number.

100013313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013313330 is an abundant number, since it is smaller than the sum of its proper divisors (204789171150).

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

100013313330 is a wasteful number, since it uses less digits than its factorization.

100013313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52917120 (or 52917114 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 100013313330 its reverse (33313310001), we get a palindrome (133326623331).

The spelling of 100013313330 in words is "one hundred billion, thirteen million, three hundred thirteen thousand, three hundred thirty".