13113032000 has 112 divisors (see below), whose sum is σ = 32797973520. Its totient is φ = 5192960000.

The previous prime is 13113031951. The next prime is 13113032033. The reversal of 13113032000 is 23031131.

It can be written as a sum of positive squares in 8 ways, for example, as 33856 + 13112998144 = 184^2 + 114512^2 .

It is a super-3 number, since 3×13113032000³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799886 + ... + 816114.

Almost surely, 2^13113032000 is an apocalyptic number.

13113032000 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 13113032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398986760).

13113032000 is an abundant number, since it is smaller than the sum of its proper divisors (19684941520).

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

13113032000 is a wasteful number, since it uses less digits than its factorization.

13113032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16357 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13113032000 its reverse (23031131), we get a palindrome (13136063131).

The spelling of 13113032000 in words is "thirteen billion, one hundred thirteen million, thirty-two thousand".