10010313100013 has 2 divisors, whose sum is σ = 10010313100014. Its totient is φ = 10010313100012.

The previous prime is 10010313099979. The next prime is 10010313100061. The reversal of 10010313100013 is 31000131301001.

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., 9321285274084 + 689027825929 = 3053078^2 + 830077^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010313100013 - 2¹⁸ = 10010312837869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010313100093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005156550006 + 5005156550007.

It is an arithmetic number, because the mean of its divisors is an integer number (5005156550007).

Almost surely, 2^{10010313100013} is an apocalyptic number.

It is an amenable number.

10010313100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010313100013 is an equidigital number, since it uses as much as digits as its factorization.

10010313100013 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 10010313100013 its reverse (31000131301001), we get a palindrome (41010444401014).

The spelling of 10010313100013 in words is "ten trillion, ten billion, three hundred thirteen million, one hundred thousand, thirteen".