311431244400431 has 16 divisors (see below), whose sum is σ = 315459575733120. Its totient is φ = 307421506828800.

The previous prime is 311431244400421. The next prime is 311431244400503. The reversal of 311431244400431 is 134004442134113.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311431244400431 is a prime.

It is a super-2 number, since 2×311431244400431² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311431244400391 and 311431244400400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431244400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018132010 + ... + 1018437848.

It is an arithmetic number, because the mean of its divisors is an integer number (19716223483320).

Almost surely, 2^{311431244400431} is an apocalyptic number.

311431244400431 is a deficient number, since it is larger than the sum of its proper divisors (4028331332689).

311431244400431 is a wasteful number, since it uses less digits than its factorization.

311431244400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336194.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 311431244400431 its reverse (134004442134113), we get a palindrome (445435686534544).

The spelling of 311431244400431 in words is "three hundred eleven trillion, four hundred thirty-one billion, two hundred forty-four million, four hundred thousand, four hundred thirty-one".