133315215000 has 320 divisors, whose sum is σ = 455897566080. Its totient is φ = 32208000000.

The previous prime is 133315214971. The next prime is 133315215001. The reversal of 133315215000 is 512513331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133315215001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54613780 + ... + 54616220.

It is an arithmetic number, because the mean of its divisors is an integer number (1424679894).

Almost surely, 2^133315215000 is an apocalyptic number.

133315215000 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 133315215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227948783040).

133315215000 is an abundant number, since it is smaller than the sum of its proper divisors (322582351080).

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

133315215000 is a wasteful number, since it uses less digits than its factorization.

133315215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 133315215000 its reverse (512513331), we get a palindrome (133827728331).

The spelling of 133315215000 in words is "one hundred thirty-three billion, three hundred fifteen million, two hundred fifteen thousand".