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13231131101 is a prime number
BaseRepresentation
bin11000101001010001…
…10000100111011101
31021011002201002201122
430110220300213131
5204044132143401
610024525020325
7645610521146
oct142450604735
937132632648
1013231131101
11567a6a06a1
1226930b46a5
13132b238a76
148d7332acd
155268aa21b
hex314a309dd

13231131101 has 2 divisors, whose sum is σ = 13231131102. Its totient is φ = 13231131100.

The previous prime is 13231131097. The next prime is 13231131103. The reversal of 13231131101 is 10113113231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13144622500 + 86508601 = 114650^2 + 9301^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231131101 - 22 = 13231131097 is a prime.

Together with 13231131103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13231131101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13231131103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6615565550 + 6615565551.

It is an arithmetic number, because the mean of its divisors is an integer number (6615565551).

Almost surely, 213231131101 is an apocalyptic number.

It is an amenable number.

13231131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231131101 is an equidigital number, since it uses as much as digits as its factorization.

13231131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13231131101 its reverse (10113113231), we get a palindrome (23344244332).

The spelling of 13231131101 in words is "thirteen billion, two hundred thirty-one million, one hundred thirty-one thousand, one hundred one".