131410413042000 has 320 divisors, whose sum is σ = 437374946211840. Its totient is φ = 33909178368000.

The previous prime is 131410413041987. The next prime is 131410413042023. The reversal of 131410413042000 is 240314014131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476191466 + ... + 2476244534.

It is an arithmetic number, because the mean of its divisors is an integer number (1366796706912).

Almost surely, 2^{131410413042000} is an apocalyptic number.

131410413042000 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 131410413042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218687473105920).

131410413042000 is an abundant number, since it is smaller than the sum of its proper divisors (305964533169840).

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

131410413042000 is a wasteful number, since it uses less digits than its factorization.

131410413042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66439 (or 66423 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131410413042000 its reverse (240314014131), we get a palindrome (131650727056131).

The spelling of 131410413042000 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred thirteen million, forty-two thousand".