1031113313 has 2 divisors, whose sum is σ = 1031113314. Its totient is φ = 1031113312.

The previous prime is 1031113283. The next prime is 1031113339. The reversal of 1031113313 is 3133111301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 837986704 + 193126609 = 28948^2 + 13897^2 .

It is an emirp because it is prime and its reverse (3133111301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031113313 - 2⁶ = 1031113249 is a prime.

It is a super-3 number, since 3×1031113313³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031113291 and 1031113300.

It is not a weakly prime, because it can be changed into another prime (1031163313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515556656 + 515556657.

It is an arithmetic number, because the mean of its divisors is an integer number (515556657).

Almost surely, 2^1031113313 is an apocalyptic number.

It is an amenable number.

1031113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031113313 is an equidigital number, since it uses as much as digits as its factorization.

1031113313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1031113313 is about 32110.9531624335. The cubic root of 1031113313 is about 1010.2653660136.

Adding to 1031113313 its reverse (3133111301), we get a palindrome (4164224614).

The spelling of 1031113313 in words is "one billion, thirty-one million, one hundred thirteen thousand, three hundred thirteen".