133013320000 has 280 divisors, whose sum is σ = 361129551552. Its totient is φ = 48192000000.

The previous prime is 133013319977. The next prime is 133013320049. The reversal of 133013320000 is 23310331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221319700 + ... + 221320300.

Almost surely, 2^133013320000 is an apocalyptic number.

133013320000 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 133013320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180564775776).

133013320000 is an abundant number, since it is smaller than the sum of its proper divisors (228116231552).

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

133013320000 is an equidigital number, since it uses as much as digits as its factorization.

133013320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 133013320000 its reverse (23310331), we get a palindrome (133036630331).

The spelling of 133013320000 in words is "one hundred thirty-three billion, thirteen million, three hundred twenty thousand".