Search a number
-
+
13023313232117 is a prime number
BaseRepresentation
bin1011110110000011100111…
…1101011000000011110101
31201010000110002110102112212
42331200321331120003311
53201333221141411432
643410454424023205
72512621561661216
oct275407175300365
951100402412485
1013023313232117
114171179891081
121564009301b05
137361298c9116
1433049036d40d
15178b7621b2b2
hexbd839f580f5

13023313232117 has 2 divisors, whose sum is σ = 13023313232118. Its totient is φ = 13023313232116.

The previous prime is 13023313232077. The next prime is 13023313232129. The reversal of 13023313232117 is 71123231332031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9066897854641 + 3956415377476 = 3011129^2 + 1989074^2 .

It is an emirp because it is prime and its reverse (71123231332031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13023313232117 - 26 = 13023313232053 is a prime.

It is a super-2 number, since 2×130233132321172 (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 (13023313232177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511656616058 + 6511656616059.

It is an arithmetic number, because the mean of its divisors is an integer number (6511656616059).

Almost surely, 213023313232117 is an apocalyptic number.

It is an amenable number.

13023313232117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023313232117 is an equidigital number, since it uses as much as digits as its factorization.

13023313232117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 13023313232117 its reverse (71123231332031), we get a palindrome (84146544564148).

The spelling of 13023313232117 in words is "thirteen trillion, twenty-three billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred seventeen".