100312313211 has 48 divisors (see below), whose sum is σ = 160958174208. Its totient is φ = 59687409600.

The previous prime is 100312313209. The next prime is 100312313249. The reversal of 100312313211 is 112313213001.

100312313211 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 31 + 321 + 1 = 666.

It is not a de Polignac number, because 100312313211 - 2¹ = 100312313209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100312313281) 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, 3288150 + ... + 3318516.

It is an arithmetic number, because the mean of its divisors is an integer number (3353295296).

Almost surely, 2^100312313211 is an apocalyptic number.

100312313211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100312313211 is a deficient number, since it is larger than the sum of its proper divisors (60645860997).

100312313211 is a wasteful number, since it uses less digits than its factorization.

100312313211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30992 (or 30989 counting only the distinct ones).

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

Adding to 100312313211 its reverse (112313213001), we get a palindrome (212625526212).

The spelling of 100312313211 in words is "one hundred billion, three hundred twelve million, three hundred thirteen thousand, two hundred eleven".