131403313144400 has 240 divisors, whose sum is σ = 345860940858048. Its totient is φ = 47580192768000.

The previous prime is 131403313144379. The next prime is 131403313144403. The reversal of 131403313144400 is 4441313304131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403313144403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051946747 + ... + 1052071653.

Almost surely, 2^{131403313144400} is an apocalyptic number.

131403313144400 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 131403313144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172930470429024).

131403313144400 is an abundant number, since it is smaller than the sum of its proper divisors (214457627713648).

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

131403313144400 is a wasteful number, since it uses less digits than its factorization.

131403313144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125950 (or 125939 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131403313144400 its reverse (4441313304131), we get a palindrome (135844626448531).

The spelling of 131403313144400 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred thirteen million, one hundred forty-four thousand, four hundred".