131813361 has 27 divisors (see below), whose sum is σ = 197142699. Its totient is φ = 84867552.

The previous prime is 131813347. The next prime is 131813387. The reversal of 131813361 is 163318131.

The square root of 131813361 is 11481.

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

It can be written as a sum of positive squares in only one way, i.e., 25310961 + 106502400 = 5031^2 + 10320^2 .

It is not a de Polignac number, because 131813361 - 2¹¹ = 131811313 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131813761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1481005 + ... + 1481093.

Almost surely, 2^131813361 is an apocalyptic number.

131813361 is the 11481-st square number.

131813361 is the 5741-st centered octagonal number.

It is an amenable number.

131813361 is a deficient number, since it is larger than the sum of its proper divisors (65329338).

131813361 is an frugal number, since it uses more digits than its factorization.

131813361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The cubic root of 131813361 is about 508.9242492222.

Multiplying 131813361 by its product of digits (1296), we get a square (170830115856 = 413316²).

The spelling of 131813361 in words is "one hundred thirty-one million, eight hundred thirteen thousand, three hundred sixty-one".