133000100100312 has 32 divisors (see below), whose sum is σ = 332503223424000. Its totient is φ = 44332970277024.

The previous prime is 133000100100299. The next prime is 133000100100397. The reversal of 133000100100312 is 213001001000331.

It is a junction number, because it is equal to n+sod(n) for n = 133000100100291 and 133000100100300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22030312 + ... + 27410487.

It is an arithmetic number, because the mean of its divisors is an integer number (10390725732000).

Almost surely, 2^{133000100100312} is an apocalyptic number.

133000100100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133000100100312 is an abundant number, since it is smaller than the sum of its proper divisors (199503123323688).

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

133000100100312 is a wasteful number, since it uses less digits than its factorization.

133000100100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49552895 (or 49552891 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133000100100312 its reverse (213001001000331), we get a palindrome (346001101100643).

The spelling of 133000100100312 in words is "one hundred thirty-three trillion, one hundred million, one hundred thousand, three hundred twelve".