131142334024000 has 224 divisors, whose sum is σ = 349787221553952. Its totient is φ = 48417546240000.

The previous prime is 131142334023991. The next prime is 131142334024019. The reversal of 131142334024000 is 420433241131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 107370546624576 + 23771787399424 = 10361976^2 + 4875632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131142334024000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345815280 + ... + 1345912720.

It is an arithmetic number, because the mean of its divisors is an integer number (1561550096223).

Almost surely, 2^{131142334024000} is an apocalyptic number.

131142334024000 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 131142334024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174893610776976).

131142334024000 is an abundant number, since it is smaller than the sum of its proper divisors (218644887529952).

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

131142334024000 is a wasteful number, since it uses less digits than its factorization.

131142334024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110422 (or 110402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131142334024000 its reverse (420433241131), we get a palindrome (131562767265131).

The spelling of 131142334024000 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred thirty-four million, twenty-four thousand".