131413203240000 has 560 divisors, whose sum is σ = 474089229884160. Its totient is φ = 31850481920000.

The previous prime is 131413203239999. The next prime is 131413203240037. The reversal of 131413203240000 is 42302314131.

It is a happy number.

It is a super-3 number, since 3×131413203240000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7839471619 + ... + 7839488381.

Almost surely, 2^{131413203240000} is an apocalyptic number.

131413203240000 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 131413203240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237044614942080).

131413203240000 is an abundant number, since it is smaller than the sum of its proper divisors (342676026644160).

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

131413203240000 is a wasteful number, since it uses less digits than its factorization.

131413203240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22748 (or 22723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131413203240000 its reverse (42302314131), we get a palindrome (131455505554131).

The spelling of 131413203240000 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred three million, two hundred forty thousand".