101052313 has 2 divisors, whose sum is σ = 101052314. Its totient is φ = 101052312.

The previous prime is 101052293. The next prime is 101052323. The reversal of 101052313 is 313250101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97377424 + 3674889 = 9868^2 + 1917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101052313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101052323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526156 + 50526157.

It is an arithmetic number, because the mean of its divisors is an integer number (50526157).

Almost surely, 2^101052313 is an apocalyptic number.

It is an amenable number.

101052313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101052313 is an equidigital number, since it uses as much as digits as its factorization.

101052313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 101052313 is about 10052.4779532213. The cubic root of 101052313 is about 465.7813402487.

The spelling of 101052313 in words is "one hundred one million, fifty-two thousand, three hundred thirteen".