131133305 has 8 divisors (see below), whose sum is σ = 157437000. Its totient is φ = 104855296.

The previous prime is 131133287. The next prime is 131133329. The reversal of 131133305 is 503331131.

It can be written as a sum of positive squares in 4 ways, for example, as 67436944 + 63696361 = 8212^2 + 7981^2 .

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 131133305 - 2⁶ = 131133241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7601 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (19679625).

Almost surely, 2^131133305 is an apocalyptic number.

It is an amenable number.

131133305 is a deficient number, since it is larger than the sum of its proper divisors (26303695).

131133305 is a wasteful number, since it uses less digits than its factorization.

131133305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12843.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 131133305 is about 11451.3451174960. The cubic root of 131133305 is about 508.0475199414.

Adding to 131133305 its reverse (503331131), we get a palindrome (634464436).

The spelling of 131133305 in words is "one hundred thirty-one million, one hundred thirty-three thousand, three hundred five".