133401410633352 has 256 divisors, whose sum is σ = 347966668800000. Its totient is φ = 42589239840000.

The previous prime is 133401410633333. The next prime is 133401410633527. The reversal of 133401410633352 is 253336014104331.

It is a self number, because there is not a number n which added to its sum of digits gives 133401410633352.

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, 17789222899 + ... + 17789230397.

It is an arithmetic number, because the mean of its divisors is an integer number (1359244800000).

Almost surely, 2^{133401410633352} is an apocalyptic number.

133401410633352 is a gapful number since it is divisible by the number (12) 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 133401410633352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173983334400000).

133401410633352 is an abundant number, since it is smaller than the sum of its proper divisors (214565258166648).

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

133401410633352 is a wasteful number, since it uses less digits than its factorization.

133401410633352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

Adding to 133401410633352 its reverse (253336014104331), we get a palindrome (386737424737683).

The spelling of 133401410633352 in words is "one hundred thirty-three trillion, four hundred one billion, four hundred ten million, six hundred thirty-three thousand, three hundred fifty-two".