100013012333213 has 16 divisors (see below), whose sum is σ = 116174946410880. Its totient is φ = 84319682529600.

The previous prime is 100013012333159. The next prime is 100013012333251. The reversal of 100013012333213 is 312333210310001.

It is not a de Polignac number, because 100013012333213 - 2²² = 100013008138909 is a prime.

It is a super-2 number, since 2×100013012333213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013012393213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108849818 + ... + 109764788.

It is an arithmetic number, because the mean of its divisors is an integer number (7260934150680).

Almost surely, 2^{100013012333213} is an apocalyptic number.

It is an amenable number.

100013012333213 is a deficient number, since it is larger than the sum of its proper divisors (16161934077667).

100013012333213 is an equidigital number, since it uses as much as digits as its factorization.

100013012333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171028.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 100013012333213 its reverse (312333210310001), we get a palindrome (412346222643214).

The spelling of 100013012333213 in words is "one hundred trillion, thirteen billion, twelve million, three hundred thirty-three thousand, two hundred thirteen".