100213011313 has 8 divisors (see below), whose sum is σ = 100663868448. Its totient is φ = 99762332064.

The previous prime is 100213011161. The next prime is 100213011319. The reversal of 100213011313 is 313110312001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100213011313 - 2⁹ = 100213010801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213011319) 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 7 ways as a sum of consecutive naturals, for example, 1157470 + ... + 1241032.

It is an arithmetic number, because the mean of its divisors is an integer number (12582983556).

Almost surely, 2^100213011313 is an apocalyptic number.

It is an amenable number.

100213011313 is a deficient number, since it is larger than the sum of its proper divisors (450857135).

100213011313 is an equidigital number, since it uses as much as digits as its factorization.

100213011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88943.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100213011313 its reverse (313110312001), we get a palindrome (413323323314).

The spelling of 100213011313 in words is "one hundred billion, two hundred thirteen million, eleven thousand, three hundred thirteen".