100313213121 has 12 divisors (see below), whose sum is σ = 158069305680. Its totient is φ = 60795886680.

The previous prime is 100313213113. The next prime is 100313213129. The reversal of 100313213121 is 121312313001.

100313213121 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 321 + 312 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100313213113) and next prime (100313213129).

It is not a de Polignac number, because 100313213121 - 2³ = 100313213113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313213094 and 100313213103.

It is not an unprimeable number, because it can be changed into a prime (100313213129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506632291 + ... + 506632488.

It is an arithmetic number, because the mean of its divisors is an integer number (13172442140).

Almost surely, 2^100313213121 is an apocalyptic number.

100313213121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100313213121 is a deficient number, since it is larger than the sum of its proper divisors (57756092559).

100313213121 is a wasteful number, since it uses less digits than its factorization.

100313213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013264796 (or 1013264793 counting only the distinct ones).

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

Adding to 100313213121 its reverse (121312313001), we get a palindrome (221625526122).

The spelling of 100313213121 in words is "one hundred billion, three hundred thirteen million, two hundred thirteen thousand, one hundred twenty-one".