311001213120 has 112 divisors (see below), whose sum is σ = 1063384959840. Its totient is φ = 76554141696.

The previous prime is 311001213113. The next prime is 311001213121. The reversal of 311001213120 is 21312100113.

It is a happy number.

It is a super-2 number, since 2×311001213120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311001213120.

It is not an unprimeable number, because it can be changed into a prime (311001213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12447505 + ... + 12472464.

It is an arithmetic number, because the mean of its divisors is an integer number (9494508570).

Almost surely, 2^311001213120 is an apocalyptic number.

311001213120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311001213120 is an abundant number, since it is smaller than the sum of its proper divisors (752383746720).

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

311001213120 is a wasteful number, since it uses less digits than its factorization.

311001213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24920002 (or 24919992 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 311001213120 its reverse (21312100113), we get a palindrome (332313313233).

The spelling of 311001213120 in words is "three hundred eleven billion, one million, two hundred thirteen thousand, one hundred twenty".