102561313 has 8 divisors (see below), whose sum is σ = 107839080. Its totient is φ = 97399680.

The previous prime is 102561287. The next prime is 102561317. The reversal of 102561313 is 313165201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 102556129 = 72^2 + 10127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102561313 - 2⁵ = 102561281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102561317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27220 + ... + 30757.

It is an arithmetic number, because the mean of its divisors is an integer number (13479885).

Almost surely, 2^102561313 is an apocalyptic number.

It is an amenable number.

102561313 is a deficient number, since it is larger than the sum of its proper divisors (5277767).

102561313 is an equidigital number, since it uses as much as digits as its factorization.

102561313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58067.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 102561313 is about 10127.2559462077. The cubic root of 102561313 is about 468.0883769714.

The spelling of 102561313 in words is "one hundred two million, five hundred sixty-one thousand, three hundred thirteen".