13013032331200 has 672 divisors, whose sum is σ = 37849655324160. Its totient is φ = 4353639628800.

The previous prime is 13013032331111. The next prime is 13013032331219. The reversal of 13013032331200 is 213323031031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3322191642 + ... + 3322195558.

Almost surely, 2^{13013032331200} is an apocalyptic number.

13013032331200 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 13013032331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924827662080).

13013032331200 is an abundant number, since it is smaller than the sum of its proper divisors (24836622992960).

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

13013032331200 is a wasteful number, since it uses less digits than its factorization.

13013032331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13013032331200 its reverse (213323031031), we get a palindrome (13226355362231).

The spelling of 13013032331200 in words is "thirteen trillion, thirteen billion, thirty-two million, three hundred thirty-one thousand, two hundred".