1031013013 has 2 divisors, whose sum is σ = 1031013014. Its totient is φ = 1031013012.

The previous prime is 1031013007. The next prime is 1031013041. The reversal of 1031013013 is 3103101301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 778298404 + 252714609 = 27898^2 + 15897^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031013013 - 2⁹ = 1031012501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031012984 and 1031013002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031013043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515506506 + 515506507.

It is an arithmetic number, because the mean of its divisors is an integer number (515506507).

Almost surely, 2^1031013013 is an apocalyptic number.

It is an amenable number.

1031013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031013013 is an equidigital number, since it uses as much as digits as its factorization.

1031013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1031013013 is about 32109.3913520640. The cubic root of 1031013013 is about 1010.2326076023.

Adding to 1031013013 its reverse (3103101301), we get a palindrome (4134114314).

It can be divided in two parts, 103101301 and 3, that multiplied together give a palindrome (309303903).

The spelling of 1031013013 in words is "one billion, thirty-one million, thirteen thousand, thirteen".