311431324201344 has 96 divisors (see below), whose sum is σ = 897014410921200. Its totient is φ = 103713331129344.

The previous prime is 311431324201301. The next prime is 311431324201397. The reversal of 311431324201344 is 443102423134113.

311431324201344 is a `hidden beast` number, since 3 + 1 + 143 + 132 + 42 + 0 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×311431324201344³ (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 junction number, because it is equal to n+sod(n) for n = 311431324201299 and 311431324201308.

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 11 ways as a sum of consecutive naturals, for example, 125213644 + ... + 127676619.

Almost surely, 2^{311431324201344} is an apocalyptic number.

It is an amenable number.

311431324201344 is an abundant number, since it is smaller than the sum of its proper divisors (585583086719856).

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

311431324201344 is a wasteful number, since it uses less digits than its factorization.

311431324201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252891352 (or 252891337 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 311431324201344 its reverse (443102423134113), we get a palindrome (754533747335457).

The spelling of 311431324201344 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred twenty-four million, two hundred one thousand, three hundred forty-four".