100314323213 has 12 divisors (see below), whose sum is σ = 108641533140. Its totient is φ = 92583219456.

The previous prime is 100314323201. The next prime is 100314323243. The reversal of 100314323213 is 312323413001.

It can be written as a sum of positive squares in 6 ways, for example, as 40229528329 + 60084794884 = 200573^2 + 245122^2 .

It is not a de Polignac number, because 100314323213 - 2⁸ = 100314322957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314323243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111343 + ... + 1198211.

It is an arithmetic number, because the mean of its divisors is an integer number (9053461095).

Almost surely, 2^100314323213 is an apocalyptic number.

100314323213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100314323213 is a deficient number, since it is larger than the sum of its proper divisors (8327209927).

100314323213 is an equidigital number, since it uses as much as digits as its factorization.

100314323213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93728 (or 93715 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100314323213 its reverse (312323413001), we get a palindrome (412637736214).

The spelling of 100314323213 in words is "one hundred billion, three hundred fourteen million, three hundred twenty-three thousand, two hundred thirteen".