133202112010400 has 36 divisors (see below), whose sum is σ = 325179655947342. Its totient is φ = 53280844803840.

The previous prime is 133202112010381. The next prime is 133202112010421. The reversal of 133202112010400 is 4010211202331.

It can be written as a sum of positive squares in 3 ways, for example, as 70675833099664 + 62526278910736 = 8406892^2 + 7907356^2 .

It is a super-2 number, since 2×133202112010400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83251319207 + ... + 83251320806.

Almost surely, 2^{133202112010400} is an apocalyptic number.

133202112010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202112010400 is an abundant number, since it is smaller than the sum of its proper divisors (191977543936942).

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

133202112010400 is a wasteful number, since it uses less digits than its factorization.

133202112010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166502640033 (or 166502640020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 133202112010400 its reverse (4010211202331), we get a palindrome (137212323212731).

The spelling of 133202112010400 in words is "one hundred thirty-three trillion, two hundred two billion, one hundred twelve million, ten thousand, four hundred".