1313220113 has 2 divisors, whose sum is σ = 1313220114. Its totient is φ = 1313220112.

The previous prime is 1313220089. The next prime is 1313220127. The reversal of 1313220113 is 3110223131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972005329 + 341214784 = 31177^2 + 18472^2 .

It is an emirp because it is prime and its reverse (3110223131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313220113 - 2⁸ = 1313219857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313220091 and 1313220100.

It is not a weakly prime, because it can be changed into another prime (1313220143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656610056 + 656610057.

It is an arithmetic number, because the mean of its divisors is an integer number (656610057).

Almost surely, 2^1313220113 is an apocalyptic number.

It is an amenable number.

1313220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313220113 is an equidigital number, since it uses as much as digits as its factorization.

1313220113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1313220113 is about 36238.3790062414. The cubic root of 1313220113 is about 1095.0799863730.

Adding to 1313220113 its reverse (3110223131), we get a palindrome (4423443244).

The spelling of 1313220113 in words is "one billion, three hundred thirteen million, two hundred twenty thousand, one hundred thirteen".