Search a number
-
+
13220102713 is a prime number
BaseRepresentation
bin11000100111111101…
…01100001000111001
31021010022221210121211
430103332230020321
5204033321241323
610023452403121
7645415006336
oct142376541071
937108853554
1013220102713
115674448924
12268b4764a1
131328b770ac
148d5aa198d
1552592c70d
hex313fac239

13220102713 has 2 divisors, whose sum is σ = 13220102714. Its totient is φ = 13220102712.

The previous prime is 13220102711. The next prime is 13220102803. The reversal of 13220102713 is 31720102231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10697351184 + 2522751529 = 103428^2 + 50227^2 .

It is an emirp because it is prime and its reverse (31720102231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13220102713 - 21 = 13220102711 is a prime.

It is a super-2 number, since 2×132201027132 (a number of 21 digits) contains 22 as substring.

Together with 13220102711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13220102711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610051356 + 6610051357.

It is an arithmetic number, because the mean of its divisors is an integer number (6610051357).

Almost surely, 213220102713 is an apocalyptic number.

It is an amenable number.

13220102713 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220102713 is an equidigital number, since it uses as much as digits as its factorization.

13220102713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 13220102713 its reverse (31720102231), we get a palindrome (44940204944).

The spelling of 13220102713 in words is "thirteen billion, two hundred twenty million, one hundred two thousand, seven hundred thirteen".