133104331333400 has 192 divisors, whose sum is σ = 356079620160000. Its totient is φ = 45326590848000.

The previous prime is 133104331333361. The next prime is 133104331333429. The reversal of 133104331333400 is 4333133401331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158103575 + ... + 158943225.

It is an arithmetic number, because the mean of its divisors is an integer number (1854581355000).

Almost surely, 2^{133104331333400} is an apocalyptic number.

133104331333400 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 133104331333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178039810080000).

133104331333400 is an abundant number, since it is smaller than the sum of its proper divisors (222975288826600).

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

133104331333400 is a wasteful number, since it uses less digits than its factorization.

133104331333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840442 (or 840433 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 133104331333400 its reverse (4333133401331), we get a palindrome (137437464734731).

The spelling of 133104331333400 in words is "one hundred thirty-three trillion, one hundred four billion, three hundred thirty-one million, three hundred thirty-three thousand, four hundred".