332033121101304 has 320 divisors, whose sum is σ = 1087783205414400. Its totient is φ = 92642663506176.

The previous prime is 332033121101207. The next prime is 332033121101327. The reversal of 332033121101304 is 403101121330233.

332033121101304 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 331 + 21 + 1 + 0 + 1 + 304 = 666.

It is a super-2 number, since 2×332033121101304² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1035349509 + ... + 1035670155.

It is an arithmetic number, because the mean of its divisors is an integer number (3399322516920).

Almost surely, 2^{332033121101304} 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 332033121101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543891602707200).

332033121101304 is an abundant number, since it is smaller than the sum of its proper divisors (755750084313096).

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

332033121101304 is a wasteful number, since it uses less digits than its factorization.

332033121101304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326024 (or 326011 counting only the distinct ones).

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

Adding to 332033121101304 its reverse (403101121330233), we get a palindrome (735134242431537).

The spelling of 332033121101304 in words is "three hundred thirty-two trillion, thirty-three billion, one hundred twenty-one million, one hundred one thousand, three hundred four".