13033087430000 has 400 divisors, whose sum is σ = 36918714729600. Its totient is φ = 4405115520000.

The previous prime is 13033087429939. The next prime is 13033087430003. The reversal of 13033087430000 is 3478033031.

13033087430000 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 (400).

It is a super-2 number, since 2×13033087430000² (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 (13033087430003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110711171 + ... + 110828829.

It is an arithmetic number, because the mean of its divisors is an integer number (92296786824).

Almost surely, 2^{13033087430000} is an apocalyptic number.

13033087430000 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 13033087430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459357364800).

13033087430000 is an abundant number, since it is smaller than the sum of its proper divisors (23885627299600).

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

13033087430000 is a wasteful number, since it uses less digits than its factorization.

13033087430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117770 (or 117749 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 13033087430000 in words is "thirteen trillion, thirty-three billion, eighty-seven million, four hundred thirty thousand".