131124133140 has 384 divisors, whose sum is σ = 495053475840. Its totient is φ = 25043558400.

The previous prime is 131124133123. The next prime is 131124133171. The reversal of 131124133140 is 41331421131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131124133140.

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, 14469931 + ... + 14478989.

It is an arithmetic number, because the mean of its divisors is an integer number (1289201760).

Almost surely, 2^131124133140 is an apocalyptic number.

131124133140 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 131124133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247526737920).

131124133140 is an abundant number, since it is smaller than the sum of its proper divisors (363929342700).

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

131124133140 is a wasteful number, since it uses less digits than its factorization.

131124133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131124133140 its reverse (41331421131), we get a palindrome (172455554271).

The spelling of 131124133140 in words is "one hundred thirty-one billion, one hundred twenty-four million, one hundred thirty-three thousand, one hundred forty".