101217013 has 2 divisors, whose sum is σ = 101217014. Its totient is φ = 101217012.

The previous prime is 101217007. The next prime is 101217029. The reversal of 101217013 is 310712101.

It is an a-pointer prime, because the next prime (101217029) can be obtained adding 101217013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56821444 + 44395569 = 7538^2 + 6663^2 .

It is a cyclic number.

It is not a de Polignac number, because 101217013 - 2⁵ = 101216981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101217913) 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 as a sum of consecutive naturals, namely, 50608506 + 50608507.

It is an arithmetic number, because the mean of its divisors is an integer number (50608507).

Almost surely, 2^101217013 is an apocalyptic number.

It is an amenable number.

101217013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101217013 is an equidigital number, since it uses as much as digits as its factorization.

101217013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 101217013 is about 10060.6666280123. Note that the first 4 decimals coincide. The cubic root of 101217013 is about 466.0342539613.

Adding to 101217013 its reverse (310712101), we get a palindrome (411929114).

The spelling of 101217013 in words is "one hundred one million, two hundred seventeen thousand, thirteen".