131350452452000 has 384 divisors, whose sum is σ = 348108860736000. Its totient is φ = 48545620992000.

The previous prime is 131350452451997. The next prime is 131350452452027. The reversal of 131350452452000 is 254254053131.

It is a super-3 number, since 3×131350452452000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 16524144026 + ... + 16524151974.

It is an arithmetic number, because the mean of its divisors is an integer number (906533491500).

Almost surely, 2^{131350452452000} is an apocalyptic number.

131350452452000 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 131350452452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174054430368000).

131350452452000 is an abundant number, since it is smaller than the sum of its proper divisors (216758408284000).

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

131350452452000 is a wasteful number, since it uses less digits than its factorization.

131350452452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 131350452452000 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred fifty-two million, four hundred fifty-two thousand".