100013200331 has 16 divisors (see below), whose sum is σ = 114865347840. Its totient is φ = 86122530720.

The previous prime is 100013200289. The next prime is 100013200381. The reversal of 100013200331 is 133002310001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013200331 is a prime.

It is a super-2 number, since 2×100013200331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013200381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474346 + ... + 1540688.

It is an arithmetic number, because the mean of its divisors is an integer number (7179084240).

Almost surely, 2^100013200331 is an apocalyptic number.

100013200331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100013200331 is a deficient number, since it is larger than the sum of its proper divisors (14852147509).

100013200331 is a wasteful number, since it uses less digits than its factorization.

100013200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73586.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100013200331 its reverse (133002310001), we get a palindrome (233015510332).

The spelling of 100013200331 in words is "one hundred billion, thirteen million, two hundred thousand, three hundred thirty-one".