1031041013 has 2 divisors, whose sum is σ = 1031041014. Its totient is φ = 1031041012.

The previous prime is 1031041009. The next prime is 1031041043. The reversal of 1031041013 is 3101401301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 671483569 + 359557444 = 25913^2 + 18962^2 .

It is an emirp because it is prime and its reverse (3101401301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031041013 - 2² = 1031041009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031041043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515520506 + 515520507.

It is an arithmetic number, because the mean of its divisors is an integer number (515520507).

Almost surely, 2^1031041013 is an apocalyptic number.

It is an amenable number.

1031041013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031041013 is an equidigital number, since it uses as much as digits as its factorization.

1031041013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1031041013 is about 32109.8273586141. The cubic root of 1031041013 is about 1010.2417527365.

Adding to 1031041013 its reverse (3101401301), we get a palindrome (4132442314).

The spelling of 1031041013 in words is "one billion, thirty-one million, forty-one thousand, thirteen".