311431244421312 has 168 divisors, whose sum is σ = 907368521220720. Its totient is φ = 102112168181760.

The previous prime is 311431244421301. The next prime is 311431244421347. The reversal of 311431244421312 is 213124442134113.

311431244421312 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 312 + 4 + 4 + 4 + 21 + 312 = 666.

It is a super-3 number, since 3×311431244421312³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 5844514 + ... + 25632417.

Almost surely, 2^{311431244421312} is an apocalyptic number.

311431244421312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311431244421312 is an abundant number, since it is smaller than the sum of its proper divisors (595937276799408).

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

311431244421312 is a wasteful number, since it uses less digits than its factorization.

311431244421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31477231 (or 31477218 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 311431244421312 its reverse (213124442134113), we get a palindrome (524555686555425).

The spelling of 311431244421312 in words is "three hundred eleven trillion, four hundred thirty-one billion, two hundred forty-four million, four hundred twenty-one thousand, three hundred twelve".