Search a number
-
+
13231032013 is a prime number
BaseRepresentation
bin11000101001010000…
…11000011011001101
31021011002112001210201
430110220120123031
5204044121011023
610024522533501
7645606626233
oct142450303315
937132461721
1013231032013
11567a633201
122693067291
13132b202934
148d7308953
1552688abad
hex314a186cd

13231032013 has 2 divisors, whose sum is σ = 13231032014. Its totient is φ = 13231032012.

The previous prime is 13231031999. The next prime is 13231032037. The reversal of 13231032013 is 31023013231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10024414884 + 3206617129 = 100122^2 + 56627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13231032013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13231032053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6615516006 + 6615516007.

It is an arithmetic number, because the mean of its divisors is an integer number (6615516007).

Almost surely, 213231032013 is an apocalyptic number.

It is an amenable number.

13231032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231032013 is an equidigital number, since it uses as much as digits as its factorization.

13231032013 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 19.

Adding to 13231032013 its reverse (31023013231), we get a palindrome (44254045244).

The spelling of 13231032013 in words is "thirteen billion, two hundred thirty-one million, thirty-two thousand, thirteen".