131256410000 has 100 divisors (see below), whose sum is σ = 319120348800. Its totient is φ = 52281936000.

The previous prime is 131256409997. The next prime is 131256410003. The reversal of 131256410000 is 14652131.

It is an interprime number because it is at equal distance from previous prime (131256409997) and next prime (131256410003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×131256410000³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131256410003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2362541 + ... + 2417459.

It is an arithmetic number, because the mean of its divisors is an integer number (3191203488).

Almost surely, 2^131256410000 is an apocalyptic number.

131256410000 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 131256410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159560174400).

131256410000 is an abundant number, since it is smaller than the sum of its proper divisors (187863938800).

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

131256410000 is an equidigital number, since it uses as much as digits as its factorization.

131256410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55186 (or 55165 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 131256410000 in words is "one hundred thirty-one billion, two hundred fifty-six million, four hundred ten thousand".