132653663233300 has 288 divisors, whose sum is σ = 317233610749440. Its totient is φ = 47748234240000.

The previous prime is 132653663233283. The next prime is 132653663233307. The reversal of 132653663233300 is 3332366356231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653663233307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62307966636 + ... + 62307968764.

It is an arithmetic number, because the mean of its divisors is an integer number (1101505592880).

Almost surely, 2^{132653663233300} is an apocalyptic number.

132653663233300 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 132653663233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158616805374720).

132653663233300 is an abundant number, since it is smaller than the sum of its proper divisors (184579947516140).

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

132653663233300 is a wasteful number, since it uses less digits than its factorization.

132653663233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 46.

The spelling of 132653663233300 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, six hundred sixty-three million, two hundred thirty-three thousand, three hundred".