2263131313 has 2 divisors, whose sum is σ = 2263131314. Its totient is φ = 2263131312.

The previous prime is 2263131289. The next prime is 2263131329. The reversal of 2263131313 is 3131313622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1997017344 + 266113969 = 44688^2 + 16313^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263131313 - 2⁹ = 2263130801 is a prime.

It is a super-2 number, since 2×2263131313² = 10243526679762207938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2263131373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131565656 + 1131565657.

It is an arithmetic number, because the mean of its divisors is an integer number (1131565657).

Almost surely, 2^2263131313 is an apocalyptic number.

It is an amenable number.

2263131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263131313 is an equidigital number, since it uses as much as digits as its factorization.

2263131313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 25.

The square root of 2263131313 is about 47572.3797281574. The cubic root of 2263131313 is about 1312.9149225787.

Adding to 2263131313 its reverse (3131313622), we get a palindrome (5394444935).

The spelling of 2263131313 in words is "two billion, two hundred sixty-three million, one hundred thirty-one thousand, three hundred thirteen".