133261084477320 has 256 divisors, whose sum is σ = 422237994393600. Its totient is φ = 33552920448000.

The previous prime is 133261084477307. The next prime is 133261084477333. The reversal of 133261084477320 is 23774480162331.

133261084477320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133261084477307) and next prime (133261084477333).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4197051445 + ... + 4197083195.

It is an arithmetic number, because the mean of its divisors is an integer number (1649367165600).

Almost surely, 2^{133261084477320} is an apocalyptic number.

133261084477320 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 133261084477320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211118997196800).

133261084477320 is an abundant number, since it is smaller than the sum of its proper divisors (288976909916280).

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

133261084477320 is a wasteful number, since it uses less digits than its factorization.

133261084477320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37908 (or 37904 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 133261084477320 in words is "one hundred thirty-three trillion, two hundred sixty-one billion, eighty-four million, four hundred seventy-seven thousand, three hundred twenty".