131201431431040 has 128 divisors (see below), whose sum is σ = 314000581752000. Its totient is φ = 52422514114560.

The previous prime is 131201431431023. The next prime is 131201431431043. The reversal of 131201431431040 is 40134134102131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201431431043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567065006 + ... + 2567116114.

Almost surely, 2^{131201431431040} is an apocalyptic number.

131201431431040 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 131201431431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157000290876000).

131201431431040 is an abundant number, since it is smaller than the sum of its proper divisors (182799150320960).

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

131201431431040 is a wasteful number, since it uses less digits than its factorization.

131201431431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55488 (or 55476 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131201431431040 its reverse (40134134102131), we get a palindrome (171335565533171).

The spelling of 131201431431040 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred thirty-one million, four hundred thirty-one thousand, forty".