312120133101 has 24 divisors (see below), whose sum is σ = 529171503744. Its totient is φ = 173533972320.

The previous prime is 312120133081. The next prime is 312120133103. The reversal of 312120133101 is 101331021213.

312120133101 is a `hidden beast` number, since 312 + 1 + 20 + 1 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 312120133101 - 2⁵ = 312120133069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120133103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66947505 + ... + 66952166.

It is an arithmetic number, because the mean of its divisors is an integer number (22048812656).

Almost surely, 2^312120133101 is an apocalyptic number.

It is an amenable number.

312120133101 is a deficient number, since it is larger than the sum of its proper divisors (217051370643).

312120133101 is a wasteful number, since it uses less digits than its factorization.

312120133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133899721 (or 133899718 counting only the distinct ones).

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

Adding to 312120133101 its reverse (101331021213), we get a palindrome (413451154314).

The spelling of 312120133101 in words is "three hundred twelve billion, one hundred twenty million, one hundred thirty-three thousand, one hundred one".