Search a number
-
+
13123331021 is a prime number
BaseRepresentation
bin11000011100011011…
…00010001111001101
31020212120212021211002
430032031202033031
5203334033043041
610010114310045
7643131321203
oct141615421715
936776767732
1013123331021
115624861919
122662b88325
131311ac3b38
148c6cb1073
1551c1b459b
hex30e3623cd

13123331021 has 2 divisors, whose sum is σ = 13123331022. Its totient is φ = 13123331020.

The previous prime is 13123331017. The next prime is 13123331041. The reversal of 13123331021 is 12013332131.

13123331021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13123331041) can be obtained adding 13123331021 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8436422500 + 4686908521 = 91850^2 + 68461^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123331021 - 22 = 13123331017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13123330984 and 13123331002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123331041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561665510 + 6561665511.

It is an arithmetic number, because the mean of its divisors is an integer number (6561665511).

Almost surely, 213123331021 is an apocalyptic number.

It is an amenable number.

13123331021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123331021 is an equidigital number, since it uses as much as digits as its factorization.

13123331021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13123331021 its reverse (12013332131), we get a palindrome (25136663152).

It can be divided in two parts, 1312 and 3331021, that added together give a palindrome (3332333).

The spelling of 13123331021 in words is "thirteen billion, one hundred twenty-three million, three hundred thirty-one thousand, twenty-one".