331213223101320 has 384 divisors, whose sum is σ = 1284755259628800. Its totient is φ = 75678817536000.

The previous prime is 331213223101289. The next prime is 331213223101363. The reversal of 331213223101320 is 23101322312133.

331213223101320 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 1 + 3 + 22 + 310 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147111685 + ... + 149346155.

It is an arithmetic number, because the mean of its divisors is an integer number (3345716821950).

Almost surely, 2^{331213223101320} is an apocalyptic number.

331213223101320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331213223101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642377629814400).

331213223101320 is an abundant number, since it is smaller than the sum of its proper divisors (953542036527480).

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

331213223101320 is a wasteful number, since it uses less digits than its factorization.

331213223101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237306 (or 2237289 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331213223101320 its reverse (23101322312133), we get a palindrome (354314545413453).

The spelling of 331213223101320 in words is "three hundred thirty-one trillion, two hundred thirteen billion, two hundred twenty-three million, one hundred one thousand, three hundred twenty".