131141324013128 has 256 divisors, whose sum is σ = 308512879315200. Its totient is φ = 51341931970560.

The previous prime is 131141324013101. The next prime is 131141324013233. The reversal of 131141324013128 is 821310423141131.

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, 1187614703 + ... + 1187725121.

It is an arithmetic number, because the mean of its divisors is an integer number (1205128434825).

Almost surely, 2^{131141324013128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141324013128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154256439657600).

131141324013128 is an abundant number, since it is smaller than the sum of its proper divisors (177371555302072).

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

131141324013128 is a wasteful number, since it uses less digits than its factorization.

131141324013128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110992 (or 110988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

Adding to 131141324013128 its reverse (821310423141131), we get a palindrome (952451747154259).

The spelling of 131141324013128 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, one hundred twenty-eight".