13132133010000 has 300 divisors, whose sum is σ = 46478305281408. Its totient is φ = 3459708576000.

The previous prime is 13132133009981. The next prime is 13132133010023. The reversal of 13132133010000 is 1033123131.

It is a happy number.

13132133010000 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 330 + 10 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6591009 + ... + 8348991.

Almost surely, 2^{13132133010000} is an apocalyptic number.

13132133010000 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 13132133010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23239152640704).

13132133010000 is an abundant number, since it is smaller than the sum of its proper divisors (33346172271408).

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

13132133010000 is a wasteful number, since it uses less digits than its factorization.

13132133010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758100 (or 1758076 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13132133010000 its reverse (1033123131), we get a palindrome (13133166133131).

The spelling of 13132133010000 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-three million, ten thousand".