13033231032000 has 448 divisors, whose sum is σ = 45874321459200. Its totient is φ = 3250918195200.

The previous prime is 13033231031993. The next prime is 13033231032001. The reversal of 13033231032000 is 23013233031.

It is a super-2 number, since 2×13033231032000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13033231032001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35843104 + ... + 36204896.

Almost surely, 2^{13033231032000} is an apocalyptic number.

13033231032000 is a gapful number since it is divisible by the number (10) 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 13033231032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937160729600).

13033231032000 is an abundant number, since it is smaller than the sum of its proper divisors (32841090427200).

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

13033231032000 is a wasteful number, since it uses less digits than its factorization.

13033231032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361921 (or 361901 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13033231032000 its reverse (23013233031), we get a palindrome (13056244265031).

The spelling of 13033231032000 in words is "thirteen trillion, thirty-three billion, two hundred thirty-one million, thirty-two thousand".