131342424000 has 224 divisors, whose sum is σ = 434478110976. Its totient is φ = 34961228800.

The previous prime is 131342423941. The next prime is 131342424023. The reversal of 131342424000 is 424243131.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14083339 + ... + 14092661.

It is an arithmetic number, because the mean of its divisors is an integer number (1939634424).

Almost surely, 2^131342424000 is an apocalyptic number.

131342424000 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 131342424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217239055488).

131342424000 is an abundant number, since it is smaller than the sum of its proper divisors (303135686976).

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

131342424000 is an equidigital number, since it uses as much as digits as its factorization.

131342424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131342424000 its reverse (424243131), we get a palindrome (131766667131).

The spelling of 131342424000 in words is "one hundred thirty-one billion, three hundred forty-two million, four hundred twenty-four thousand".