131141235304125 has 96 divisors (see below), whose sum is σ = 238291382041440. Its totient is φ = 69385465728000.

The previous prime is 131141235304063. The next prime is 131141235304129. The reversal of 131141235304125 is 521403532141131.

131141235304125 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 1 + 235 + 3 + 0 + 412 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 125097558828804 + 6043676475321 = 11184702^2 + 2458389^2 .

It is not a de Polignac number, because 131141235304125 - 2²² = 131141231109821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131141235304125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141235304129) 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, 82495299 + ... + 84069951.

It is an arithmetic number, because the mean of its divisors is an integer number (2482201896265).

Almost surely, 2^{131141235304125} is an apocalyptic number.

131141235304125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131141235304125 is a deficient number, since it is larger than the sum of its proper divisors (107150146737315).

131141235304125 is a wasteful number, since it uses less digits than its factorization.

131141235304125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575264 (or 1575251 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 131141235304125 its reverse (521403532141131), we get a palindrome (652544767445256).

The spelling of 131141235304125 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred thirty-five million, three hundred four thousand, one hundred twenty-five".