13031332032000 has 320 divisors, whose sum is σ = 43388175175488. Its totient is φ = 3470028800000.

The previous prime is 13031332031983. The next prime is 13031332032007. The reversal of 13031332032000 is 23023313031.

13031332032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×13031332032000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031332032007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134543590 + ... + 134640410.

Almost surely, 2^{13031332032000} is an apocalyptic number.

13031332032000 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 13031332032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21694087587744).

13031332032000 is an abundant number, since it is smaller than the sum of its proper divisors (30356843143488).

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

13031332032000 is an frugal number, since it uses more digits than its factorization.

13031332032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97558 (or 97532 counting only the distinct ones).

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

Adding to 13031332032000 its reverse (23023313031), we get a palindrome (13054355345031).

The spelling of 13031332032000 in words is "thirteen trillion, thirty-one billion, three hundred thirty-two million, thirty-two thousand".