13231408507200 has 504 divisors, whose sum is σ = 50663161287648. Its totient is φ = 3255797698560.

The previous prime is 13231408507193. The next prime is 13231408507297. The reversal of 13231408507200 is 270580413231.

13231408507200 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 140 + 8 + 507 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599590567 + ... + 599612633.

It is an arithmetic number, because the mean of its divisors is an integer number (100522145412).

Almost surely, 2^{13231408507200} is an apocalyptic number.

13231408507200 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 13231408507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331580643824).

13231408507200 is an abundant number, since it is smaller than the sum of its proper divisors (37431752780448).

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

13231408507200 is a wasteful number, since it uses less digits than its factorization.

13231408507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25311 (or 25293 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13231408507200 in words is "thirteen trillion, two hundred thirty-one billion, four hundred eight million, five hundred seven thousand, two hundred".