331001310001320 has 192 divisors, whose sum is σ = 1229441644379520. Its totient is φ = 75656937226752.

The previous prime is 331001310001273. The next prime is 331001310001367. The reversal of 331001310001320 is 23100013100133.

It is a happy number.

331001310001320 is a `hidden beast` number, since 3 + 31 + 0 + 0 + 1 + 310 + 0 + 0 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (331001310001273) and next prime (331001310001367).

It is a super-4 number, since 4×331001310001320⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331001310001293 and 331001310001302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482784279 + ... + 483469401.

It is an arithmetic number, because the mean of its divisors is an integer number (6403341897810).

Almost surely, 2^{331001310001320} is an apocalyptic number.

331001310001320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331001310001320 is an abundant number, since it is smaller than the sum of its proper divisors (898440334378200).

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

331001310001320 is a wasteful number, since it uses less digits than its factorization.

331001310001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876864 (or 876857 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331001310001320 its reverse (23100013100133), we get a palindrome (354101323101453).

The spelling of 331001310001320 in words is "three hundred thirty-one trillion, one billion, three hundred ten million, one thousand, three hundred twenty".