311311132310320 has 160 divisors (see below), whose sum is σ = 728453542989312. Its totient is φ = 123725281837056.

The previous prime is 311311132310161. The next prime is 311311132310341. The reversal of 311311132310320 is 23013231113113.

It is a super-2 number, since 2×311311132310320² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 67927366749 + ... + 67927371331.

Almost surely, 2^{311311132310320} is an apocalyptic number.

It is an amenable number.

311311132310320 is an abundant number, since it is smaller than the sum of its proper divisors (417142410678992).

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

311311132310320 is a wasteful number, since it uses less digits than its factorization.

311311132310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 311311132310320 its reverse (23013231113113), we get a palindrome (334324363423433).

The spelling of 311311132310320 in words is "three hundred eleven trillion, three hundred eleven billion, one hundred thirty-two million, three hundred ten thousand, three hundred twenty".