131125244124000 has 384 divisors, whose sum is σ = 493770731231232. Its totient is φ = 29798235494400.

The previous prime is 131125244123999. The next prime is 131125244124037. The reversal of 131125244124000 is 421442521131.

It is a super-3 number, since 3×131125244124000³ (a number of 43 digits) contains 333 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, 10020397 + ... + 19043603.

It is an arithmetic number, because the mean of its divisors is an integer number (1285861279248).

Almost surely, 2^{131125244124000} is an apocalyptic number.

131125244124000 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 131125244124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246885365615616).

131125244124000 is an abundant number, since it is smaller than the sum of its proper divisors (362645487107232).

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

131125244124000 is a wasteful number, since it uses less digits than its factorization.

131125244124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023415 (or 9023397 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 131125244124000 its reverse (421442521131), we get a palindrome (131546686645131).

The spelling of 131125244124000 in words is "one hundred thirty-one trillion, one hundred twenty-five billion, two hundred forty-four million, one hundred twenty-four thousand".