133113131031000 has 128 divisors (see below), whose sum is σ = 415960888973760. Its totient is φ = 35441457152000.

The previous prime is 133113131030963. The next prime is 133113131031011. The reversal of 133113131031000 is 130131311331.

133113131031000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133113131031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 32687799 + ... + 36533798.

Almost surely, 2^{133113131031000} is an apocalyptic number.

133113131031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133113131031000 is an abundant number, since it is smaller than the sum of its proper divisors (282847757942760).

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

133113131031000 is a wasteful number, since it uses less digits than its factorization.

133113131031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69222262 (or 69222248 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 133113131031000 its reverse (130131311331), we get a palindrome (133243262342331).

The spelling of 133113131031000 in words is "one hundred thirty-three trillion, one hundred thirteen billion, one hundred thirty-one million, thirty-one thousand".