131858313129 has 27 divisors (see below), whose sum is σ = 197821548093. Its totient is φ = 87885933444.

The previous prime is 131858313127. The next prime is 131858313133. The reversal of 131858313129 is 921313858131.

The square root of 131858313129 is 363123.

It is a perfect power (a square), and thus also a powerful number.

131858313129 is a `hidden beast` number, since 1 + 3 + 18 + 583 + 1 + 31 + 29 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 131858313129 - 2¹ = 131858313127 is a prime.

It is a super-2 number, since 2×131858313129² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131858313127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29410722 + ... + 29415204.

Almost surely, 2^131858313129 is an apocalyptic number.

131858313129 is the 363123-rd square number.

131858313129 is the 181562-nd centered octagonal number.

It is an amenable number.

131858313129 is a deficient number, since it is larger than the sum of its proper divisors (65963234964).

131858313129 is an frugal number, since it uses more digits than its factorization.

131858313129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 4486 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 131858313129 in words is "one hundred thirty-one billion, eight hundred fifty-eight million, three hundred thirteen thousand, one hundred twenty-nine".