133100001210000 has 1200 divisors, whose sum is σ = 486352339083072. Its totient is φ = 31309724160000.

The previous prime is 133100001209951. The next prime is 133100001210023. The reversal of 133100001210000 is 12100001331.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×133100001210000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59499328882 + ... + 59499331118.

Almost surely, 2^{133100001210000} is an apocalyptic number.

133100001210000 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 133100001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243176169541536).

133100001210000 is an abundant number, since it is smaller than the sum of its proper divisors (353252337873072).

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

133100001210000 is a wasteful number, since it uses less digits than its factorization.

133100001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133100001210000 its reverse (12100001331), we get a palindrome (133112101211331).

The spelling of 133100001210000 in words is "one hundred thirty-three trillion, one hundred billion, one million, two hundred ten thousand".