101001000313 has 2 divisors, whose sum is σ = 101001000314. Its totient is φ = 101001000312.

The previous prime is 101001000307. The next prime is 101001000319. The reversal of 101001000313 is 313000100101.

It is a balanced prime because it is at equal distance from previous prime (101001000307) and next prime (101001000319).

It can be written as a sum of positive squares in only one way, i.e., 99520059024 + 1480941289 = 315468^2 + 38483^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000313 - 2⁵ = 101001000281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001000313.

It is not a weakly prime, because it can be changed into another prime (101001000319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500156 + 50500500157.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500157).

Almost surely, 2^101001000313 is an apocalyptic number.

It is an amenable number.

101001000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000313 is an equidigital number, since it uses as much as digits as its factorization.

101001000313 is an evil number, because the sum of its binary digits is even.

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

Adding to 101001000313 its reverse (313000100101), we get a palindrome (414001100414).

The spelling of 101001000313 in words is "one hundred one billion, one million, three hundred thirteen", and thus it is an aban number.