1010313013 has 2 divisors, whose sum is σ = 1010313014. Its totient is φ = 1010313012.

The previous prime is 1010313001. The next prime is 1010313041. The reversal of 1010313013 is 3103130101.

It is a happy number.

1010313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009142289 + 1170724 = 31767^2 + 1082^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010313013 - 2¹⁷ = 1010181941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010312984 and 1010313002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010313313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505156506 + 505156507.

It is an arithmetic number, because the mean of its divisors is an integer number (505156507).

Almost surely, 2^1010313013 is an apocalyptic number.

It is an amenable number.

1010313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010313013 is an equidigital number, since it uses as much as digits as its factorization.

1010313013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1010313013 is about 31785.4213909459. The cubic root of 1010313013 is about 1003.4259206643.

Adding to 1010313013 its reverse (3103130101), we get a palindrome (4113443114).

The spelling of 1010313013 in words is "one billion, ten million, three hundred thirteen thousand, thirteen".