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13331010101 is a prime number
BaseRepresentation
bin11000110101001011…
…10001001000110101
31021102001122110221212
430122211301020311
5204300214310401
610042453451205
7651232500443
oct143245611065
937361573855
1013331010101
11572100a222
122700640b05
131345b39476
149066d1b93
15530538dbb
hex31a971235

13331010101 has 2 divisors, whose sum is σ = 13331010102. Its totient is φ = 13331010100.

The previous prime is 13331010097. The next prime is 13331010107. The reversal of 13331010101 is 10101013331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10516707601 + 2814302500 = 102551^2 + 53050^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331010101 - 22 = 13331010097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665505050 + 6665505051.

It is an arithmetic number, because the mean of its divisors is an integer number (6665505051).

Almost surely, 213331010101 is an apocalyptic number.

It is an amenable number.

13331010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331010101 is an equidigital number, since it uses as much as digits as its factorization.

13331010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13331010101 its reverse (10101013331), we get a palindrome (23432023432).

The spelling of 13331010101 in words is "thirteen billion, three hundred thirty-one million, ten thousand, one hundred one".