10312120131201 has 72 divisors (see below), whose sum is σ = 17622751404960. Its totient is φ = 5792139327744.

The previous prime is 10312120131193. The next prime is 10312120131217. The reversal of 10312120131201 is 10213102121301.

10312120131201 is a `hidden beast` number, since 1 + 0 + 312 + 1 + 20 + 131 + 201 = 666.

It is not a de Polignac number, because 10312120131201 - 2³ = 10312120131193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10312120131251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352620886 + ... + 352650128.

It is an arithmetic number, because the mean of its divisors is an integer number (244760436180).

Almost surely, 2^{10312120131201} is an apocalyptic number.

It is an amenable number.

10312120131201 is a deficient number, since it is larger than the sum of its proper divisors (7310631273759).

10312120131201 is a wasteful number, since it uses less digits than its factorization.

10312120131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42875 (or 42865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10312120131201 its reverse (10213102121301), we get a palindrome (20525222252502).

The spelling of 10312120131201 in words is "ten trillion, three hundred twelve billion, one hundred twenty million, one hundred thirty-one thousand, two hundred one".