132013133013300 has 432 divisors, whose sum is σ = 484882431663168. Its totient is φ = 27421602969600.

The previous prime is 132013133013283. The next prime is 132013133013323. The reversal of 132013133013300 is 3310331310231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461834022 + ... + 462119778.

Almost surely, 2^{132013133013300} is an apocalyptic number.

132013133013300 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 132013133013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242441215831584).

132013133013300 is an abundant number, since it is smaller than the sum of its proper divisors (352869298649868).

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

132013133013300 is a wasteful number, since it uses less digits than its factorization.

132013133013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288656 (or 288642 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 132013133013300 its reverse (3310331310231), we get a palindrome (135323464323531).

The spelling of 132013133013300 in words is "one hundred thirty-two trillion, thirteen billion, one hundred thirty-three million, thirteen thousand, three hundred".