131201431431440 has 20 divisors (see below), whose sum is σ = 305043328078284. Its totient is φ = 52480572572544.

The previous prime is 131201431431307. The next prime is 131201431431457. The reversal of 131201431431440 is 44134134102131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20605752894736 + 110595678536704 = 4539356^2 + 10516448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 131201431431397 and 131201431431406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 820008946367 + ... + 820008946526.

Almost surely, 2^{131201431431440} is an apocalyptic number.

131201431431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201431431440 is an abundant number, since it is smaller than the sum of its proper divisors (173841896646844).

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

131201431431440 is a wasteful number, since it uses less digits than its factorization.

131201431431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640017892906 (or 1640017892900 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131201431431440 its reverse (44134134102131), we get a palindrome (175335565533571).

The spelling of 131201431431440 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred forty".