332013011301120 has 1152 divisors, whose sum is σ = 1204326247348224. Its totient is φ = 77480252669952.

The previous prime is 332013011301119. The next prime is 332013011301173. The reversal of 332013011301120 is 21103110310233.

It is a happy number.

It is a super-2 number, since 2×332013011301120² (a number of 30 digits) contains 22 as substring.

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, 82941045039 + ... + 82941049041.

It is an arithmetic number, because the mean of its divisors is an integer number (1045422089712).

Almost surely, 2^{332013011301120} is an apocalyptic number.

332013011301120 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 332013011301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602163123674112).

332013011301120 is an abundant number, since it is smaller than the sum of its proper divisors (872313236047104).

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

332013011301120 is a wasteful number, since it uses less digits than its factorization.

332013011301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 332013011301120 its reverse (21103110310233), we get a palindrome (353116121611353).

The spelling of 332013011301120 in words is "three hundred thirty-two trillion, thirteen billion, eleven million, three hundred one thousand, one hundred twenty".