131314254471400 has 768 divisors, whose sum is σ = 428284388044800. Its totient is φ = 36092390400000.

The previous prime is 131314254471371. The next prime is 131314254471401. The reversal of 131314254471400 is 4174452413131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (131314254471401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3725103775 + ... + 3725139025.

It is an arithmetic number, because the mean of its divisors is an integer number (557661963600).

Almost surely, 2^{131314254471400} is an apocalyptic number.

131314254471400 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 131314254471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214142194022400).

131314254471400 is an abundant number, since it is smaller than the sum of its proper divisors (296970133573400).

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

131314254471400 is a wasteful number, since it uses less digits than its factorization.

131314254471400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36130 (or 36121 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 131314254471400 in words is "one hundred thirty-one trillion, three hundred fourteen billion, two hundred fifty-four million, four hundred seventy-one thousand, four hundred".