131334000014250 has 256 divisors, whose sum is σ = 398293459200000. Its totient is φ = 31762550952000.

The previous prime is 131334000014209. The next prime is 131334000014263. The reversal of 131334000014250 is 52410000433131.

It is a happy number.

131334000014250 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 400 + 0 + 0 + 1 + 4 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29000001 + ... + 33221499.

It is an arithmetic number, because the mean of its divisors is an integer number (1555833825000).

Almost surely, 2^{131334000014250} is an apocalyptic number.

131334000014250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131334000014250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199146729600000).

131334000014250 is an abundant number, since it is smaller than the sum of its proper divisors (266959459185750).

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

131334000014250 is a wasteful number, since it uses less digits than its factorization.

131334000014250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221955 (or 4221939 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131334000014250 its reverse (52410000433131), we get a palindrome (183744000447381).

The spelling of 131334000014250 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, fourteen thousand, two hundred fifty".