331201112300032 has 320 divisors, whose sum is σ = 729913282560000. Its totient is φ = 149209242255360.

The previous prime is 331201112299999. The next prime is 331201112300041. The reversal of 331201112300032 is 230003211102133.

It is a super-2 number, since 2×331201112300032² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331201112299976 and 331201112300012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29948553319 + ... + 29948564377.

It is an arithmetic number, because the mean of its divisors is an integer number (2280979008000).

Almost surely, 2^{331201112300032} is an apocalyptic number.

331201112300032 is a gapful number since it is divisible by the number (32) 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 331201112300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364956641280000).

331201112300032 is an abundant number, since it is smaller than the sum of its proper divisors (398712170259968).

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

331201112300032 is a wasteful number, since it uses less digits than its factorization.

331201112300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331201112300032 its reverse (230003211102133), we get a palindrome (561204323402165).

The spelling of 331201112300032 in words is "three hundred thirty-one trillion, two hundred one billion, one hundred twelve million, three hundred thousand, thirty-two".