332002113113300 has 288 divisors, whose sum is σ = 853463945478144. Its totient is φ = 109699064640000.

The previous prime is 332002113113299. The next prime is 332002113113303. The reversal of 332002113113300 is 3311311200233.

It is a super-2 number, since 2×332002113113300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002113113303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18839128289 + ... + 18839145911.

Almost surely, 2^{332002113113300} 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 332002113113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426731972739072).

332002113113300 is an abundant number, since it is smaller than the sum of its proper divisors (521461832364844).

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

332002113113300 is a wasteful number, since it uses less digits than its factorization.

332002113113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21239 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 332002113113300 its reverse (3311311200233), we get a palindrome (335313424313533).

The spelling of 332002113113300 in words is "three hundred thirty-two trillion, two billion, one hundred thirteen million, one hundred thirteen thousand, three hundred".