133313010000000 has 256 divisors, whose sum is σ = 442639819964160. Its totient is φ = 35550128000000.

The previous prime is 133313009999987. The next prime is 133313010000073. The reversal of 133313010000000 is 10313331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 27778117 + ... + 32221883.

It is an arithmetic number, because the mean of its divisors is an integer number (1729061796735).

Almost surely, 2^{133313010000000} is an apocalyptic number.

133313010000000 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 133313010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221319909982080).

133313010000000 is an abundant number, since it is smaller than the sum of its proper divisors (309326809964160).

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

133313010000000 is an frugal number, since it uses more digits than its factorization.

133313010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443819 (or 4443777 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 133313010000000 its reverse (10313331), we get a palindrome (133313020313331).

The spelling of 133313010000000 in words is "one hundred thirty-three trillion, three hundred thirteen billion, ten million", and thus it is an aban number.