133313136000 has 512 divisors, whose sum is σ = 485379648000. Its totient is φ = 32099328000.

The previous prime is 133313135983. The next prime is 133313136031. The reversal of 133313136000 is 631313331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86063226 + ... + 86064774.

It is an arithmetic number, because the mean of its divisors is an integer number (948007125).

Almost surely, 2^133313136000 is an apocalyptic number.

133313136000 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 133313136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242689824000).

133313136000 is an abundant number, since it is smaller than the sum of its proper divisors (352066512000).

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

133313136000 is a wasteful number, since it uses less digits than its factorization.

133313136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 133313136000 its reverse (631313331), we get a palindrome (133944449331).

The spelling of 133313136000 in words is "one hundred thirty-three billion, three hundred thirteen million, one hundred thirty-six thousand".