133101404700 has 288 divisors, whose sum is σ = 436880037888. Its totient is φ = 30994944000.

The previous prime is 133101404693. The next prime is 133101404713. The reversal of 133101404700 is 7404101331.

It is a super-2 number, since 2×133101404700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14010352 + ... + 14019848.

It is an arithmetic number, because the mean of its divisors is an integer number (1516944576).

Almost surely, 2^133101404700 is an apocalyptic number.

133101404700 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 133101404700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218440018944).

133101404700 is an abundant number, since it is smaller than the sum of its proper divisors (303778633188).

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

133101404700 is a wasteful number, since it uses less digits than its factorization.

133101404700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9693 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 133101404700 in words is "one hundred thirty-three billion, one hundred one million, four hundred four thousand, seven hundred".