131413101321340 has 96 divisors (see below), whose sum is σ = 292136607322560. Its totient is φ = 49570006886400.

The previous prime is 131413101321319. The next prime is 131413101321389. The reversal of 131413101321340 is 43123101314131.

It is a junction number, because it is equal to n+sod(n) for n = 131413101321299 and 131413101321308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581512770 + ... + 581738710.

It is an arithmetic number, because the mean of its divisors is an integer number (3043089659610).

Almost surely, 2^{131413101321340} is an apocalyptic number.

131413101321340 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 131413101321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146068303661280).

131413101321340 is an abundant number, since it is smaller than the sum of its proper divisors (160723506001220).

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

131413101321340 is a wasteful number, since it uses less digits than its factorization.

131413101321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249343 (or 249341 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131413101321340 its reverse (43123101314131), we get a palindrome (174536202635471).

The spelling of 131413101321340 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, three hundred forty".