131424034224000 has 512 divisors, whose sum is σ = 497990628495360. Its totient is φ = 30034875187200.

The previous prime is 131424034223921. The next prime is 131424034224019. The reversal of 131424034224000 is 422430424131.

It is a super-2 number, since 2×131424034224000² (a number of 29 digits) contains 22 as substring.

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

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, 2305939504 + ... + 2305996496.

It is an arithmetic number, because the mean of its divisors is an integer number (972637946280).

Almost surely, 2^{131424034224000} is an apocalyptic number.

131424034224000 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 131424034224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248995314247680).

131424034224000 is an abundant number, since it is smaller than the sum of its proper divisors (366566594271360).

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

131424034224000 is an equidigital number, since it uses as much as digits as its factorization.

131424034224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63895 (or 63873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 131424034224000 its reverse (422430424131), we get a palindrome (131846464648131).

The spelling of 131424034224000 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, thirty-four million, two hundred twenty-four thousand".