Search a number
-
+
13220103244013 is a prime number
BaseRepresentation
bin1100000001100000101110…
…0011101100100011101101
31201210211101201120211011222
43000120023203230203231
53213044232412302023
644041122004553125
72533056324325301
oct300301343544355
951724351524158
1013220103244013
1142376836a7746
1215961899b27a5
1374b85bb90443
14339bdbdc5d01
1517dd4296ccc8
hexc060b8ec8ed

13220103244013 has 2 divisors, whose sum is σ = 13220103244014. Its totient is φ = 13220103244012.

The previous prime is 13220103244009. The next prime is 13220103244021. The reversal of 13220103244013 is 31044230102231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7076461866244 + 6143641377769 = 2660162^2 + 2478637^2 .

It is an emirp because it is prime and its reverse (31044230102231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13220103244013 - 22 = 13220103244009 is a prime.

It is a super-2 number, since 2×132201032440132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13220103244043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610051622006 + 6610051622007.

It is an arithmetic number, because the mean of its divisors is an integer number (6610051622007).

Almost surely, 213220103244013 is an apocalyptic number.

It is an amenable number.

13220103244013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220103244013 is an equidigital number, since it uses as much as digits as its factorization.

13220103244013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13220103244013 its reverse (31044230102231), we get a palindrome (44264333346244).

The spelling of 13220103244013 in words is "thirteen trillion, two hundred twenty billion, one hundred three million, two hundred forty-four thousand, thirteen".