311431310304420 has 48 divisors (see below), whose sum is σ = 895575443692608. Its totient is φ = 80803799429760.

The previous prime is 311431310304343. The next prime is 311431310304479. The reversal of 311431310304420 is 24403013134113.

It is a super-3 number, since 3×311431310304420³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70142184786 + ... + 70142189225.

It is an arithmetic number, because the mean of its divisors is an integer number (18657821743596).

Almost surely, 2^{311431310304420} is an apocalyptic number.

311431310304420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311431310304420 is an abundant number, since it is smaller than the sum of its proper divisors (584144133388188).

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

311431310304420 is a wasteful number, since it uses less digits than its factorization.

311431310304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140284374060 (or 140284374058 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 311431310304420 its reverse (24403013134113), we get a palindrome (335834323438533).

The spelling of 311431310304420 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred ten million, three hundred four thousand, four hundred twenty".