101298313 has 2 divisors, whose sum is σ = 101298314. Its totient is φ = 101298312.

The previous prime is 101298311. The next prime is 101298389. The reversal of 101298313 is 313892101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78287104 + 23011209 = 8848^2 + 4797^2 .

It is an emirp because it is prime and its reverse (313892101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101298313 - 2¹ = 101298311 is a prime.

It is a super-2 number, since 2×101298313² = 20522696433291938, which contains 22 as substring.

Together with 101298311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101298311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50649156 + 50649157.

It is an arithmetic number, because the mean of its divisors is an integer number (50649157).

Almost surely, 2^101298313 is an apocalyptic number.

It is an amenable number.

101298313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101298313 is an equidigital number, since it uses as much as digits as its factorization.

101298313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101298313 is about 10064.7063047066. The cubic root of 101298313 is about 466.1589973020.

The spelling of 101298313 in words is "one hundred one million, two hundred ninety-eight thousand, three hundred thirteen".