13131465336000 has 2688 divisors, whose sum is σ = 55752603678720. Its totient is φ = 3037305600000.

The previous prime is 13131465335893. The next prime is 13131465336029. The reversal of 13131465336000 is 63356413131.

13131465336000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 46 + 5 + 3 + 3 + 600 + 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 383 ways as a sum of consecutive naturals, for example, 184950215965 + ... + 184950216035.

Almost surely, 2^{13131465336000} is an apocalyptic number.

13131465336000 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 13131465336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27876301839360).

13131465336000 is an abundant number, since it is smaller than the sum of its proper divisors (42621138342720).

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

13131465336000 is an frugal number, since it uses more digits than its factorization.

13131465336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13131465336000 in words is "thirteen trillion, one hundred thirty-one billion, four hundred sixty-five million, three hundred thirty-six thousand".