131342424031000 has 512 divisors, whose sum is σ = 400620704440320. Its totient is φ = 39112436736000.

The previous prime is 131342424030931. The next prime is 131342424031097. The reversal of 131342424031000 is 130424243131.

It is a happy number.

It is a super-2 number, since 2×131342424031000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 131342424031000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7752008529 + ... + 7752025471.

It is an arithmetic number, because the mean of its divisors is an integer number (782462313360).

Almost surely, 2^{131342424031000} is an apocalyptic number.

131342424031000 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 131342424031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200310352220160).

131342424031000 is an abundant number, since it is smaller than the sum of its proper divisors (269278280409320).

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

131342424031000 is a wasteful number, since it uses less digits than its factorization.

131342424031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22012 (or 21998 counting only the distinct ones).

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

Adding to 131342424031000 its reverse (130424243131), we get a palindrome (131472848274131).

The spelling of 131342424031000 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred twenty-four million, thirty-one thousand".