Search a number
-
+
13023130212137 is a prime number
BaseRepresentation
bin1011110110000010111100…
…0011001101011100101001
31201002222222100002001100002
42331200233003031130221
53201332332313242022
643410424325152345
72512614210224243
oct275405703153451
951088870061302
1013023130212137
1141710955464a1
121563b77b5b6b5
137360caa08786
14330473d2b093
15178b65118092
hexbd82f0cd729

13023130212137 has 2 divisors, whose sum is σ = 13023130212138. Its totient is φ = 13023130212136.

The previous prime is 13023130212109. The next prime is 13023130212163. The reversal of 13023130212137 is 73121203132031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11352997875241 + 1670132336896 = 3369421^2 + 1292336^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023130212137 - 212 = 13023130208041 is a prime.

It is not a weakly prime, because it can be changed into another prime (13023130214137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511565106068 + 6511565106069.

It is an arithmetic number, because the mean of its divisors is an integer number (6511565106069).

Almost surely, 213023130212137 is an apocalyptic number.

It is an amenable number.

13023130212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023130212137 is an equidigital number, since it uses as much as digits as its factorization.

13023130212137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 13023130212137 its reverse (73121203132031), we get a palindrome (86144333344168).

The spelling of 13023130212137 in words is "thirteen trillion, twenty-three billion, one hundred thirty million, two hundred twelve thousand, one hundred thirty-seven".