133112330002000 has 40 divisors (see below), whose sum is σ = 321865613949672. Its totient is φ = 53244932000000.

The previous prime is 133112330001949. The next prime is 133112330002019. The reversal of 133112330002000 is 200033211331.

It can be written as a sum of positive squares in 4 ways, for example, as 102517793856 + 133009812208144 = 320184^2 + 11532988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133112330002000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33278080501 + ... + 33278084500.

Almost surely, 2^{133112330002000} is an apocalyptic number.

133112330002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133112330002000 is an abundant number, since it is smaller than the sum of its proper divisors (188753283947672).

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

133112330002000 is an equidigital number, since it uses as much as digits as its factorization.

133112330002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66556165024 (or 66556165008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 133112330002000 its reverse (200033211331), we get a palindrome (133312363213331).

The spelling of 133112330002000 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred thirty million, two thousand".