101213305 has 8 divisors (see below), whose sum is σ = 123747912. Its totient is φ = 79442688.

The previous prime is 101213279. The next prime is 101213311. The reversal of 101213305 is 503312101.

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 69538921 = 5628^2 + 8339^2 .

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 101213305 - 2¹³ = 101205113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 190704 + ... + 191233.

It is an arithmetic number, because the mean of its divisors is an integer number (15468489).

Almost surely, 2^101213305 is an apocalyptic number.

It is an amenable number.

101213305 is a deficient number, since it is larger than the sum of its proper divisors (22534607).

101213305 is an equidigital number, since it uses as much as digits as its factorization.

101213305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381995.

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

The square root of 101213305 is about 10060.4823443014. The cubic root of 101213305 is about 466.0285629677.

Adding to 101213305 its reverse (503312101), we get a palindrome (604525406).

The spelling of 101213305 in words is "one hundred one million, two hundred thirteen thousand, three hundred five".