Search a number
-
+
13311032131 is a prime number
BaseRepresentation
bin11000110010110011…
…00011101101000011
31021100200001111100001
430121121203231003
5204230111012011
610040501340431
7650600622565
oct143131435503
937320044301
1013311032131
115710804501
1226b5a07717
131341963097
14903bb1335
1552d8de7c1
hex319663b43

13311032131 has 2 divisors, whose sum is σ = 13311032132. Its totient is φ = 13311032130.

The previous prime is 13311032129. The next prime is 13311032143. The reversal of 13311032131 is 13123011331.

13311032131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13311032131 - 21 = 13311032129 is a prime.

It is a super-2 number, since 2×133110321312 (a number of 21 digits) contains 22 as substring.

Together with 13311032129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13311032099 and 13311032108.

It is not a weakly prime, because it can be changed into another prime (13311032171) 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, 6655516065 + 6655516066.

It is an arithmetic number, because the mean of its divisors is an integer number (6655516066).

Almost surely, 213311032131 is an apocalyptic number.

13311032131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311032131 is an equidigital number, since it uses as much as digits as its factorization.

13311032131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13311032131 its reverse (13123011331), we get a palindrome (26434043462).

The spelling of 13311032131 in words is "thirteen billion, three hundred eleven million, thirty-two thousand, one hundred thirty-one".