131527282725131 has 8 divisors (see below), whose sum is σ = 135232443342528. Its totient is φ = 127845797256000.

The previous prime is 131527282725103. The next prime is 131527282725151.

131527282725131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131527282725131 - 2³⁸ = 131252404818187 is a prime.

It is a super-2 number, since 2×131527282725131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131527282725131.

It is not an unprimeable number, because it can be changed into a prime (131527282725151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5918775800 + ... + 5918798021.

It is an arithmetic number, because the mean of its divisors is an integer number (16904055417816).

Almost surely, 2^{131527282725131} is an apocalyptic number.

131527282725131 is a deficient number, since it is larger than the sum of its proper divisors (3705160617397).

131527282725131 is a wasteful number, since it uses less digits than its factorization.

131527282725131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837574133.

The product of its digits is 1411200, while the sum is 50.

The spelling of 131527282725131 in words is "one hundred thirty-one trillion, five hundred twenty-seven billion, two hundred eighty-two million, seven hundred twenty-five thousand, one hundred thirty-one".