133112000100400 has 120 divisors (see below), whose sum is σ = 320828469235200. Its totient is φ = 53073955948800.

The previous prime is 133112000100341. The next prime is 133112000100407. The reversal of 133112000100400 is 4001000211331.

It is a super-2 number, since 2×133112000100400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (133112000100407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340280121 + ... + 340671079.

It is an arithmetic number, because the mean of its divisors is an integer number (2673570576960).

Almost surely, 2^{133112000100400} is an apocalyptic number.

133112000100400 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 133112000100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160414234617600).

133112000100400 is an abundant number, since it is smaller than the sum of its proper divisors (187716469134800).

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

133112000100400 is a wasteful number, since it uses less digits than its factorization.

133112000100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393707 (or 393696 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133112000100400 its reverse (4001000211331), we get a palindrome (137113000311731).

The spelling of 133112000100400 in words is "one hundred thirty-three trillion, one hundred twelve billion, one hundred thousand, four hundred".