100113312213 has 48 divisors (see below), whose sum is σ = 147828844800. Its totient is φ = 65277014400.

The previous prime is 100113312203. The next prime is 100113312227. The reversal of 100113312213 is 312213311001.

100113312213 is a `hidden beast` number, since 100 + 11 + 331 + 221 + 3 = 666.

It is not a de Polignac number, because 100113312213 - 2⁸ = 100113311957 is a prime.

It is a super-2 number, since 2×100113312213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113312203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25543668 + ... + 25547586.

It is an arithmetic number, because the mean of its divisors is an integer number (3079767600).

Almost surely, 2^100113312213 is an apocalyptic number.

It is an amenable number.

100113312213 is a deficient number, since it is larger than the sum of its proper divisors (47715532587).

100113312213 is a wasteful number, since it uses less digits than its factorization.

100113312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113312213 its reverse (312213311001), we get a palindrome (412326623214).

The spelling of 100113312213 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, two hundred thirteen".