331213311312 has 160 divisors (see below), whose sum is σ = 925590758400. Its totient is φ = 101455220736.

The previous prime is 331213311311. The next prime is 331213311313. The reversal of 331213311312 is 213113312133.

It is an interprime number because it is at equal distance from previous prime (331213311311) and next prime (331213311313).

It is a super-2 number, since 2×331213311312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213311311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188295489 + ... + 188297247.

It is an arithmetic number, because the mean of its divisors is an integer number (5784942240).

Almost surely, 2^331213311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331213311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462795379200).

331213311312 is an abundant number, since it is smaller than the sum of its proper divisors (594377447088).

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

331213311312 is a wasteful number, since it uses less digits than its factorization.

331213311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 331213311312 its reverse (213113312133), we get a palindrome (544326623445).

It can be divided in two parts, 33121 and 3311312, that added together give a palindrome (3344433).

The spelling of 331213311312 in words is "three hundred thirty-one billion, two hundred thirteen million, three hundred eleven thousand, three hundred twelve".