331201000130000 has 1600 divisors, whose sum is σ = 1135063991255040. Its totient is φ = 90250675200000.

The previous prime is 331201000129787. The next prime is 331201000130027. The reversal of 331201000130000 is 31000102133.

It is a super-2 number, since 2×331201000130000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14584558646 + ... + 14584581354.

Almost surely, 2^{331201000130000} 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 331201000130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567531995627520).

331201000130000 is an abundant number, since it is smaller than the sum of its proper divisors (803862991125040).

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

331201000130000 is a wasteful number, since it uses less digits than its factorization.

331201000130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22846 (or 22825 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 331201000130000 its reverse (31000102133), we get a palindrome (331232000232133).

The spelling of 331201000130000 in words is "three hundred thirty-one trillion, two hundred one billion, one hundred thirty thousand".