100213313103213 has 16 divisors (see below), whose sum is σ = 136813750571520. Its totient is φ = 65212889387184.

The previous prime is 100213313103161. The next prime is 100213313103247. The reversal of 100213313103213 is 312301313312001.

It is not a de Polignac number, because 100213313103213 - 2³³ = 100204723168621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213313103613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251533743 + ... + 251931836.

It is an arithmetic number, because the mean of its divisors is an integer number (8550859410720).

Almost surely, 2^{100213313103213} is an apocalyptic number.

It is an amenable number.

100213313103213 is a deficient number, since it is larger than the sum of its proper divisors (36600437468307).

100213313103213 is a wasteful number, since it uses less digits than its factorization.

100213313103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503467168.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 100213313103213 its reverse (312301313312001), we get a palindrome (412514626415214).

The spelling of 100213313103213 in words is "one hundred trillion, two hundred thirteen billion, three hundred thirteen million, one hundred three thousand, two hundred thirteen".