311431020334307 has 32 divisors (see below), whose sum is σ = 346995126028800. Its totient is φ = 278133619767808.

The previous prime is 311431020334297. The next prime is 311431020334331. The reversal of 311431020334307 is 703433020134113.

It is a happy number.

It is not a de Polignac number, because 311431020334307 - 2⁶ = 311431020334243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311431020334367) 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 31 ways as a sum of consecutive naturals, for example, 108149588 + ... + 110991870.

It is an arithmetic number, because the mean of its divisors is an integer number (10843597688400).

Almost surely, 2^{311431020334307} is an apocalyptic number.

311431020334307 is a deficient number, since it is larger than the sum of its proper divisors (35564105694493).

311431020334307 is a wasteful number, since it uses less digits than its factorization.

311431020334307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846155.

The product of its (nonzero) digits is 54432, while the sum is 35.

The spelling of 311431020334307 in words is "three hundred eleven trillion, four hundred thirty-one billion, twenty million, three hundred thirty-four thousand, three hundred seven".