133311068400 has 120 divisors (see below), whose sum is σ = 427166191360. Its totient is φ = 35539096320.

The previous prime is 133311068369. The next prime is 133311068431. The reversal of 133311068400 is 4860113331.

It is an interprime number because it is at equal distance from previous prime (133311068369) and next prime (133311068431).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4573071 + ... + 4602129.

Almost surely, 2^133311068400 is an apocalyptic number.

133311068400 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 133311068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213583095680).

133311068400 is an abundant number, since it is smaller than the sum of its proper divisors (293855122960).

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

133311068400 is a wasteful number, since it uses less digits than its factorization.

133311068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32903 (or 32892 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 133311068400 in words is "one hundred thirty-three billion, three hundred eleven million, sixty-eight thousand, four hundred".