311232421133120 has 56 divisors (see below), whose sum is σ = 741125740060008. Its totient is φ = 124492374272000.

The previous prime is 311232421133107. The next prime is 311232421133167. The reversal of 311232421133120 is 21331124232113.

It can be written as a sum of positive squares in 4 ways, for example, as 1311043320064 + 309921377813056 = 1145008^2 + 17604584^2 .

It is a super-4 number, since 4×311232421133120⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68170070 + ... + 72592170.

Almost surely, 2^{311232421133120} is an apocalyptic number.

It is an amenable number.

311232421133120 is an abundant number, since it is smaller than the sum of its proper divisors (429893318926888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311232421133120 is a wasteful number, since it uses less digits than its factorization.

311232421133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642059 (or 4642049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 311232421133120 its reverse (21331124232113), we get a palindrome (332563545365233).

The spelling of 311232421133120 in words is "three hundred eleven trillion, two hundred thirty-two billion, four hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".