1013001010313 has 2 divisors, whose sum is σ = 1013001010314. Its totient is φ = 1013001010312.

The previous prime is 1013001010297. The next prime is 1013001010339. The reversal of 1013001010313 is 3130101003101.

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., 535453672009 + 477547338304 = 731747^2 + 691048^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013001010313 - 2⁴ = 1013001010297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013001810313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506500505156 + 506500505157.

It is an arithmetic number, because the mean of its divisors is an integer number (506500505157).

Almost surely, 2^{1013001010313} is an apocalyptic number.

It is an amenable number.

1013001010313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013001010313 is an equidigital number, since it uses as much as digits as its factorization.

1013001010313 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 14.

Adding to 1013001010313 its reverse (3130101003101), we get a palindrome (4143102013414).

The spelling of 1013001010313 in words is "one trillion, thirteen billion, one million, ten thousand, three hundred thirteen".