Search a number
-
+
13131011339 is a prime number
BaseRepresentation
bin11000011101010101…
…10101010100001011
31020220010022111020022
430032222311110023
5203343014330324
610010551051055
7643253516615
oct141652652413
936803274208
1013131011339
115629128196
122665670a8b
1313135828c4
148c7d0ddb5
1551cbd005e
hex30eab550b

13131011339 has 2 divisors, whose sum is σ = 13131011340. Its totient is φ = 13131011338.

The previous prime is 13131011303. The next prime is 13131011371. The reversal of 13131011339 is 93311013131.

13131011339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13131011339 - 212 = 13131007243 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131014339) 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, 6565505669 + 6565505670.

It is an arithmetic number, because the mean of its divisors is an integer number (6565505670).

Almost surely, 213131011339 is an apocalyptic number.

13131011339 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131011339 is an equidigital number, since it uses as much as digits as its factorization.

13131011339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 13131011339 in words is "thirteen billion, one hundred thirty-one million, eleven thousand, three hundred thirty-nine".