331123132113312 has 144 divisors (see below), whose sum is σ = 1103027057147232. Its totient is φ = 86006008327680.

The previous prime is 331123132113259. The next prime is 331123132113349. The reversal of 331123132113312 is 213311231321133.

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

It is a self number, because there is not a number n which added to its sum of digits gives 331123132113312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199576543 + ... + 3199680030.

It is an arithmetic number, because the mean of its divisors is an integer number (7659910119078).

Almost surely, 2^{331123132113312} is an apocalyptic number.

331123132113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331123132113312 is an abundant number, since it is smaller than the sum of its proper divisors (771903925033920).

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

331123132113312 is a wasteful number, since it uses less digits than its factorization.

331123132113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399256611 (or 6399256596 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 331123132113312 its reverse (213311231321133), we get a palindrome (544434363434445).

The spelling of 331123132113312 in words is "three hundred thirty-one trillion, one hundred twenty-three billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred twelve".