332313333132000 has 768 divisors, whose sum is σ = 1283921906641920. Its totient is φ = 74258021376000.

The previous prime is 332313333131959. The next prime is 332313333132017. The reversal of 332313333132000 is 231333313233.

It is a happy number.

It is a super-2 number, since 2×332313333132000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91005442 + ... + 94586558.

It is an arithmetic number, because the mean of its divisors is an integer number (1671773315940).

Almost surely, 2^{332313333132000} is an apocalyptic number.

332313333132000 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 332313333132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641960953320960).

332313333132000 is an abundant number, since it is smaller than the sum of its proper divisors (951608573509920).

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

332313333132000 is a wasteful number, since it uses less digits than its factorization.

332313333132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581212 (or 3581194 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 332313333132000 its reverse (231333313233), we get a palindrome (332544666445233).

The spelling of 332313333132000 in words is "three hundred thirty-two trillion, three hundred thirteen billion, three hundred thirty-three million, one hundred thirty-two thousand".