131413314121320 has 256 divisors, whose sum is σ = 491734364129280. Its totient is φ = 27294749568000.

The previous prime is 131413314121283. The next prime is 131413314121333. The reversal of 131413314121320 is 23121413314131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18086095 + ... + 24288545.

It is an arithmetic number, because the mean of its divisors is an integer number (1920837359880).

Almost surely, 2^{131413314121320} is an apocalyptic number.

131413314121320 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 131413314121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245867182064640).

131413314121320 is an abundant number, since it is smaller than the sum of its proper divisors (360321050007960).

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

131413314121320 is a wasteful number, since it uses less digits than its factorization.

131413314121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204776 (or 6204772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 131413314121320 its reverse (23121413314131), we get a palindrome (154534727435451).

The spelling of 131413314121320 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, one hundred twenty-one thousand, three hundred twenty".