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13231332013 is a prime number
BaseRepresentation
bin11000101001010011…
…00001101010101101
31021011010002022022211
430110221201222231
5204044210111023
610024533210421
7645612315664
oct142451415255
937133068284
1013231332013
11567a818639
122693190a11
13132b2a9353
148d7385ddb
155268e9a0d
hex314a61aad

13231332013 has 2 divisors, whose sum is σ = 13231332014. Its totient is φ = 13231332012.

The previous prime is 13231332001. The next prime is 13231332029. The reversal of 13231332013 is 31023313231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10787315044 + 2444016969 = 103862^2 + 49437^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231332013 - 225 = 13197777581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13231332083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6615666006 + 6615666007.

It is an arithmetic number, because the mean of its divisors is an integer number (6615666007).

Almost surely, 213231332013 is an apocalyptic number.

It is an amenable number.

13231332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231332013 is an equidigital number, since it uses as much as digits as its factorization.

13231332013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13231332013 its reverse (31023313231), we get a palindrome (44254645244).

The spelling of 13231332013 in words is "thirteen billion, two hundred thirty-one million, three hundred thirty-two thousand, thirteen".