1013142313 has 2 divisors, whose sum is σ = 1013142314. Its totient is φ = 1013142312.

The previous prime is 1013142281. The next prime is 1013142323. The reversal of 1013142313 is 3132413101.

1013142313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 874562329 + 138579984 = 29573^2 + 11772^2 .

It is an emirp because it is prime and its reverse (3132413101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013142313 - 2⁵ = 1013142281 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013142323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506571156 + 506571157.

It is an arithmetic number, because the mean of its divisors is an integer number (506571157).

Almost surely, 2^1013142313 is an apocalyptic number.

It is an amenable number.

1013142313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013142313 is an equidigital number, since it uses as much as digits as its factorization.

1013142313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1013142313 is about 31829.8965282641. The cubic root of 1013142313 is about 1004.3617187496.

Adding to 1013142313 its reverse (3132413101), we get a palindrome (4145555414).

The spelling of 1013142313 in words is "one billion, thirteen million, one hundred forty-two thousand, three hundred thirteen".