133113400400 has 60 divisors (see below), whose sum is σ = 320332390272. Its totient is φ = 53157544320.

The previous prime is 133113400373. The next prime is 133113400573. The reversal of 133113400400 is 4004311331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31322 + ... + 516921.

Almost surely, 2^133113400400 is an apocalyptic number.

133113400400 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 133113400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160166195136).

133113400400 is an abundant number, since it is smaller than the sum of its proper divisors (187218989872).

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

133113400400 is a wasteful number, since it uses less digits than its factorization.

133113400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548868 (or 548857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133113400400 its reverse (4004311331), we get a palindrome (137117711731).

The spelling of 133113400400 in words is "one hundred thirty-three billion, one hundred thirteen million, four hundred thousand, four hundred".