101010313 has 2 divisors, whose sum is σ = 101010314. Its totient is φ = 101010312.

The previous prime is 101010293. The next prime is 101010317. The reversal of 101010313 is 313010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98346889 + 2663424 = 9917^2 + 1632^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010313 - 2²¹ = 98913161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010313.

It is not a weakly prime, because it can be changed into another prime (101010317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505156 + 50505157.

It is an arithmetic number, because the mean of its divisors is an integer number (50505157).

Almost surely, 2^101010313 is an apocalyptic number.

It is an amenable number.

101010313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010313 is an equidigital number, since it uses as much as digits as its factorization.

101010313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 101010313 is about 10050.3886989509. The cubic root of 101010313 is about 465.7168009799.

Adding to 101010313 its reverse (313010101), we get a palindrome (414020414).

The spelling of 101010313 in words is "one hundred one million, ten thousand, three hundred thirteen".