332013131230000 has 400 divisors, whose sum is σ = 950089369781376. Its totient is φ = 110987573760000.

The previous prime is 332013131229961. The next prime is 332013131230019. The reversal of 332013131230000 is 32131310233.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×332013131230000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78345499 + ... + 82474501.

Almost surely, 2^{332013131230000} 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 332013131230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475044684890688).

332013131230000 is an abundant number, since it is smaller than the sum of its proper divisors (618076238551376).

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

332013131230000 is a wasteful number, since it uses less digits than its factorization.

332013131230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129102 (or 4129081 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 332013131230000 its reverse (32131310233), we get a palindrome (332045262540233).

The spelling of 332013131230000 in words is "three hundred thirty-two trillion, thirteen billion, one hundred thirty-one million, two hundred thirty thousand".