101047313 has 2 divisors, whose sum is σ = 101047314. Its totient is φ = 101047312.

The previous prime is 101047283. The next prime is 101047343. The reversal of 101047313 is 313740101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (101047283) and next prime (101047343).

It can be written as a sum of positive squares in only one way, i.e., 55457809 + 45589504 = 7447^2 + 6752^2 .

It is an emirp because it is prime and its reverse (313740101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101047313 - 2⁶ = 101047249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101047343) 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, 50523656 + 50523657.

It is an arithmetic number, because the mean of its divisors is an integer number (50523657).

Almost surely, 2^101047313 is an apocalyptic number.

It is an amenable number.

101047313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101047313 is an equidigital number, since it uses as much as digits as its factorization.

101047313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 101047313 is about 10052.2292552448. The cubic root of 101047313 is about 465.7736579403.

Adding to 101047313 its reverse (313740101), we get a palindrome (414787414).

The spelling of 101047313 in words is "one hundred one million, forty-seven thousand, three hundred thirteen".