131345500510341 has 96 divisors (see below), whose sum is σ = 216925119290880. Its totient is φ = 75865527908352.

The previous prime is 131345500510303. The next prime is 131345500510381. The reversal of 131345500510341 is 143015005543131.

131345500510341 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 5 + 500 + 5 + 103 + 41 = 666.

It is not a de Polignac number, because 131345500510341 - 2¹⁹ = 131345499986053 is a prime.

It is a super-4 number, since 4×131345500510341⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131345500510296 and 131345500510305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131345500510381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7182442900 + ... + 7182461186.

It is an arithmetic number, because the mean of its divisors is an integer number (2259636659280).

Almost surely, 2^{131345500510341} is an apocalyptic number.

It is an amenable number.

131345500510341 is a deficient number, since it is larger than the sum of its proper divisors (85579618780539).

131345500510341 is a wasteful number, since it uses less digits than its factorization.

131345500510341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27995 (or 27992 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 131345500510341 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred million, five hundred ten thousand, three hundred forty-one".