131152031130120 has 1728 divisors, whose sum is σ = 545899836000960. Its totient is φ = 25103473274880.

The previous prime is 131152031130119. The next prime is 131152031130139. The reversal of 131152031130120 is 21031130251131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 82124001162 + ... + 82124002758.

It is an arithmetic number, because the mean of its divisors is an integer number (315914256945).

Almost surely, 2^{131152031130120} is an apocalyptic number.

131152031130120 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 131152031130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272949918000480).

131152031130120 is an abundant number, since it is smaller than the sum of its proper divisors (414747804870840).

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

131152031130120 is a wasteful number, since it uses less digits than its factorization.

131152031130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 131152031130120 its reverse (21031130251131), we get a palindrome (152183161381251).

It can be divided in two parts, 131 and 152031130120, that added together give a palindrome (152031130251).

The spelling of 131152031130120 in words is "one hundred thirty-one trillion, one hundred fifty-two billion, thirty-one million, one hundred thirty thousand, one hundred twenty".