1321310113 has 2 divisors, whose sum is σ = 1321310114. Its totient is φ = 1321310112.

The previous prime is 1321310101. The next prime is 1321310131. The reversal of 1321310113 is 3110131231.

Together with next prime (1321310131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 844018704 + 477291409 = 29052^2 + 21847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1321310113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1321310143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660655056 + 660655057.

It is an arithmetic number, because the mean of its divisors is an integer number (660655057).

Almost surely, 2^1321310113 is an apocalyptic number.

It is an amenable number.

1321310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321310113 is an equidigital number, since it uses as much as digits as its factorization.

1321310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1321310113 is about 36349.8296144562. The cubic root of 1321310113 is about 1097.3241054551.

Adding to 1321310113 its reverse (3110131231), we get a palindrome (4431441344).

The spelling of 1321310113 in words is "one billion, three hundred twenty-one million, three hundred ten thousand, one hundred thirteen".