186813131 has 2 divisors, whose sum is σ = 186813132. Its totient is φ = 186813130.

The previous prime is 186813103. The next prime is 186813139. The reversal of 186813131 is 131318681.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 186813131 - 2¹⁴ = 186796747 is a prime.

It is a super-2 number, since 2×186813131² = 69798291828046322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (186813139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93406565 + 93406566.

It is an arithmetic number, because the mean of its divisors is an integer number (93406566).

Almost surely, 2^186813131 is an apocalyptic number.

186813131 is a deficient number, since it is larger than the sum of its proper divisors (1).

186813131 is an equidigital number, since it uses as much as digits as its factorization.

186813131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 32.

The square root of 186813131 is about 13667.9600160375. The cubic root of 186813131 is about 571.6573605665.

It can be divided in two parts, 18681 and 3131, that added together give a palindrome (21812).

The spelling of 186813131 in words is "one hundred eighty-six million, eight hundred thirteen thousand, one hundred thirty-one".