131404314400 has 72 divisors (see below), whose sum is σ = 321535920384. Its totient is φ = 52439635200.

The previous prime is 131404314383. The next prime is 131404314467. The reversal of 131404314400 is 4413404131.

It is a super-3 number, since 3×131404314400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154249 + ... + 535351.

It is an arithmetic number, because the mean of its divisors is an integer number (4465776672).

Almost surely, 2^131404314400 is an apocalyptic number.

131404314400 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 131404314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160767960192).

131404314400 is an abundant number, since it is smaller than the sum of its proper divisors (190131605984).

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

131404314400 is a wasteful number, since it uses less digits than its factorization.

131404314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381554 (or 381541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 131404314400 its reverse (4413404131), we get a palindrome (135817718531).

The spelling of 131404314400 in words is "one hundred thirty-one billion, four hundred four million, three hundred fourteen thousand, four hundred".