131134321132320 has 192 divisors, whose sum is σ = 450698442292224. Its totient is φ = 31784972344320.

The previous prime is 131134321132291. The next prime is 131134321132337. The reversal of 131134321132320 is 23231123431131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30525709 + ... + 34555571.

It is an arithmetic number, because the mean of its divisors is an integer number (2347387720272).

Almost surely, 2^{131134321132320} is an apocalyptic number.

131134321132320 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 131134321132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225349221146112).

131134321132320 is an abundant number, since it is smaller than the sum of its proper divisors (319564121159904).

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

131134321132320 is a wasteful number, since it uses less digits than its factorization.

131134321132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036055 (or 4036047 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 131134321132320 its reverse (23231123431131), we get a palindrome (154365444563451).

The spelling of 131134321132320 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".