133012313131320 has 288 divisors, whose sum is σ = 513567301665600. Its totient is φ = 29755945852416.

The previous prime is 133012313131307. The next prime is 133012313131337. The reversal of 133012313131320 is 23131313210331.

133012313131320 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 23 + 1 + 313 + 1 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79387735 + ... + 81045894.

It is an arithmetic number, because the mean of its divisors is an integer number (1783219797450).

Almost surely, 2^{133012313131320} is an apocalyptic number.

133012313131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133012313131320 is an abundant number, since it is smaller than the sum of its proper divisors (380554988534280).

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

133012313131320 is a wasteful number, since it uses less digits than its factorization.

133012313131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160433707 (or 160433693 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133012313131320 its reverse (23131313210331), we get a palindrome (156143626341651).

The spelling of 133012313131320 in words is "one hundred thirty-three trillion, twelve billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred twenty".