131153253315125 has 32 divisors (see below), whose sum is σ = 163898753133024. Its totient is φ = 104781924864000.

The previous prime is 131153253315043. The next prime is 131153253315131. The reversal of 131153253315125 is 521513352351131.

It can be written as a sum of positive squares in 16 ways, for example, as 100036023243601 + 31117230071524 = 10001801^2 + 5578282^2 .

It is not a de Polignac number, because 131153253315125 - 2¹² = 131153253311029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307129459 + ... + 1307229791.

It is an arithmetic number, because the mean of its divisors is an integer number (5121836035407).

Almost surely, 2^{131153253315125} is an apocalyptic number.

It is an amenable number.

131153253315125 is a deficient number, since it is larger than the sum of its proper divisors (32745499817899).

131153253315125 is a wasteful number, since it uses less digits than its factorization.

131153253315125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114266 (or 114256 counting only the distinct ones).

The product of its digits is 202500, while the sum is 41.

The spelling of 131153253315125 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, two hundred fifty-three million, three hundred fifteen thousand, one hundred twenty-five".