332232131013000 has 256 divisors, whose sum is σ = 1037837284323840. Its totient is φ = 88486465536000.

The previous prime is 332232131012989. The next prime is 332232131013067. The reversal of 332232131013000 is 310131232233.

It is a super-3 number, since 3×332232131013000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23675053984 + ... + 23675068016.

It is an arithmetic number, because the mean of its divisors is an integer number (4054051891890).

Almost surely, 2^{332232131013000} is an apocalyptic number.

332232131013000 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 332232131013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918642161920).

332232131013000 is an abundant number, since it is smaller than the sum of its proper divisors (705605153310840).

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

332232131013000 is a wasteful number, since it uses less digits than its factorization.

332232131013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23185 (or 23171 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332232131013000 its reverse (310131232233), we get a palindrome (332542262245233).

The spelling of 332232131013000 in words is "three hundred thirty-two trillion, two hundred thirty-two billion, one hundred thirty-one million, thirteen thousand".