312021013331133 has 20 divisors (see below), whose sum is σ = 467021192248380. Its totient is φ = 207605336936832.

The previous prime is 312021013331099. The next prime is 312021013331179. The reversal of 312021013331133 is 331133310120213.

312021013331133 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 210 + 1 + 333 + 113 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167597414267364 + 144423599063769 = 12945942^2 + 12017637^2 .

It is not a de Polignac number, because 312021013331133 - 2⁴¹ = 309821990075581 is a prime.

It is a super-2 number, since 2×312021013331133² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312021013331097 and 312021013331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312021013331633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3783958060 + ... + 3784040517.

It is an arithmetic number, because the mean of its divisors is an integer number (23351059612419).

Almost surely, 2^{312021013331133} is an apocalyptic number.

It is an amenable number.

312021013331133 is a deficient number, since it is larger than the sum of its proper divisors (155000178917247).

312021013331133 is an equidigital number, since it uses as much as digits as its factorization.

312021013331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567999098 (or 7567999089 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 312021013331133 its reverse (331133310120213), we get a palindrome (643154323451346).

The spelling of 312021013331133 in words is "three hundred twelve trillion, twenty-one billion, thirteen million, three hundred thirty-one thousand, one hundred thirty-three".