131413443032040 has 128 divisors (see below), whose sum is σ = 430903322156160. Its totient is φ = 31865119570944.

The previous prime is 131413443032009. The next prime is 131413443032041. The reversal of 131413443032040 is 40230344314131.

It is a junction number, because it is equal to n+sod(n) for n = 131413443031992 and 131413443032010.

It is not an unprimeable number, because it can be changed into a prime (131413443032041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628547619 + ... + 628756658.

It is an arithmetic number, because the mean of its divisors is an integer number (3366432204345).

Almost surely, 2^{131413443032040} is an apocalyptic number.

131413443032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413443032040 is an abundant number, since it is smaller than the sum of its proper divisors (299489879124120).

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

131413443032040 is a wasteful number, since it uses less digits than its factorization.

131413443032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257304371 (or 1257304367 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131413443032040 its reverse (40230344314131), we get a palindrome (171643787346171).

The spelling of 131413443032040 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred forty-three million, thirty-two thousand, forty".