131533313 has 2 divisors, whose sum is σ = 131533314. Its totient is φ = 131533312.

The previous prime is 131533309. The next prime is 131533319. The reversal of 131533313 is 313335131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78287104 + 53246209 = 8848^2 + 7297^2 .

It is a cyclic number.

It is not a de Polignac number, because 131533313 - 2² = 131533309 is a prime.

It is not a weakly prime, because it can be changed into another prime (131533319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65766656 + 65766657.

It is an arithmetic number, because the mean of its divisors is an integer number (65766657).

Almost surely, 2^131533313 is an apocalyptic number.

It is an amenable number.

131533313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131533313 is an equidigital number, since it uses as much as digits as its factorization.

131533313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1215, while the sum is 23.

The square root of 131533313 is about 11468.7973650248. The cubic root of 131533313 is about 508.5635769546.

Adding to 131533313 its reverse (313335131), we get a palindrome (444868444).

The spelling of 131533313 in words is "one hundred thirty-one million, five hundred thirty-three thousand, three hundred thirteen".