133232013300 has 144 divisors (see below), whose sum is σ = 395129960064. Its totient is φ = 34640640000.

The previous prime is 133232013293. The next prime is 133232013319. The reversal of 133232013300 is 3310232331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34327360 + ... + 34331240.

It is an arithmetic number, because the mean of its divisors is an integer number (2743958056).

Almost surely, 2^133232013300 is an apocalyptic number.

133232013300 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 133232013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197564980032).

133232013300 is an abundant number, since it is smaller than the sum of its proper divisors (261897946764).

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

133232013300 is a wasteful number, since it uses less digits than its factorization.

133232013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133232013300 its reverse (3310232331), we get a palindrome (136542245631).

It can be divided in two parts, 1332320 and 13300, that added together give a triangular number (1345620 = T₁₆₄₀).

The spelling of 133232013300 in words is "one hundred thirty-three billion, two hundred thirty-two million, thirteen thousand, three hundred".