131413314201440 has 96 divisors (see below), whose sum is σ = 320109118027776. Its totient is φ = 50950945543680.

The previous prime is 131413314201383. The next prime is 131413314201457. The reversal of 131413314201440 is 44102413314131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131413314201397 and 131413314201406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72002432 + ... + 73804991.

It is an arithmetic number, because the mean of its divisors is an integer number (3334469979456).

Almost surely, 2^{131413314201440} is an apocalyptic number.

131413314201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413314201440 is an abundant number, since it is smaller than the sum of its proper divisors (188695803826336).

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

131413314201440 is a wasteful number, since it uses less digits than its factorization.

131413314201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145807612 (or 145807604 counting only the distinct ones).

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

Adding to 131413314201440 its reverse (44102413314131), we get a palindrome (175515727515571).

The spelling of 131413314201440 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, two hundred one thousand, four hundred forty".