133411302514120 has 128 divisors (see below), whose sum is σ = 312963647875200. Its totient is φ = 51135173185536.

The previous prime is 133411302514097. The next prime is 133411302514129. The reversal of 133411302514120 is 21415203114331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133411302514129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424545216 + ... + 424859344.

It is an arithmetic number, because the mean of its divisors is an integer number (2445028499025).

Almost surely, 2^{133411302514120} is an apocalyptic number.

133411302514120 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 133411302514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156481823937600).

133411302514120 is an abundant number, since it is smaller than the sum of its proper divisors (179552345361080).

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

133411302514120 is a wasteful number, since it uses less digits than its factorization.

133411302514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318527 (or 318523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 133411302514120 its reverse (21415203114331), we get a palindrome (154826505628451).

The spelling of 133411302514120 in words is "one hundred thirty-three trillion, four hundred eleven billion, three hundred two million, five hundred fourteen thousand, one hundred twenty".