332013133022130 has 384 divisors, whose sum is σ = 1023488268042240. Its totient is φ = 73073054568960.

The previous prime is 332013133022101. The next prime is 332013133022209. The reversal of 332013133022130 is 31220331310233.

332013133022130 is a `hidden beast` number, since 3 + 3 + 20 + 1 + 313 + 302 + 21 + 3 + 0 = 666.

It is a super-2 number, since 2×332013133022130² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332013133022094 and 332013133022103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3146484132 + ... + 3146589648.

It is an arithmetic number, because the mean of its divisors is an integer number (2665334031360).

Almost surely, 2^{332013133022130} is an apocalyptic number.

332013133022130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332013133022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511744134021120).

332013133022130 is an abundant number, since it is smaller than the sum of its proper divisors (691475135020110).

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

332013133022130 is a wasteful number, since it uses less digits than its factorization.

332013133022130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106374 (or 106371 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332013133022130 its reverse (31220331310233), we get a palindrome (363233464332363).

The spelling of 332013133022130 in words is "three hundred thirty-two trillion, thirteen billion, one hundred thirty-three million, twenty-two thousand, one hundred thirty".