131342240220400 has 240 divisors, whose sum is σ = 354574364145408. Its totient is φ = 46341146880000.

The previous prime is 131342240220361. The next prime is 131342240220469. The reversal of 131342240220400 is 4022042243131.

It is a super-2 number, since 2×131342240220400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26270532 + ... + 30867868.

Almost surely, 2^{131342240220400} is an apocalyptic number.

131342240220400 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 131342240220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177287182072704).

131342240220400 is an abundant number, since it is smaller than the sum of its proper divisors (223232123925008).

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

131342240220400 is a wasteful number, since it uses less digits than its factorization.

131342240220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597560 (or 4597549 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 131342240220400 its reverse (4022042243131), we get a palindrome (135364282463531).

The spelling of 131342240220400 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred forty million, two hundred twenty thousand, four hundred".