133103002111200 has 216 divisors, whose sum is σ = 512023048880616. Its totient is φ = 32267394432000.

The previous prime is 133103002111171. The next prime is 133103002111217. The reversal of 133103002111200 is 2111200301331.

133103002111200 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 300 + 211 + 120 + 0 = 666.

It is a super-2 number, since 2×133103002111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 840217531 + ... + 840375930.

It is an arithmetic number, because the mean of its divisors is an integer number (2370477078151).

Almost surely, 2^{133103002111200} is an apocalyptic number.

133103002111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133103002111200 is an abundant number, since it is smaller than the sum of its proper divisors (378920046769416).

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

133103002111200 is a wasteful number, since it uses less digits than its factorization.

133103002111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680593498 (or 1680593482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133103002111200 its reverse (2111200301331), we get a palindrome (135214202412531).

The spelling of 133103002111200 in words is "one hundred thirty-three trillion, one hundred three billion, two million, one hundred eleven thousand, two hundred".