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13331322101 is a prime number
BaseRepresentation
bin11000110101001101…
…11101010011110101
31021102002020022221102
430122212331103311
5204300304301401
610042504255445
7651235240166
oct143246752365
937362208842
1013331322101
115721202679
122700771585
131345c18496
1490677376d
1553059b56b
hex31a9bd4f5

13331322101 has 2 divisors, whose sum is σ = 13331322102. Its totient is φ = 13331322100.

The previous prime is 13331322083. The next prime is 13331322131. The reversal of 13331322101 is 10122313331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11877730225 + 1453591876 = 108985^2 + 38126^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331322101 - 210 = 13331321077 is a prime.

It is a super-2 number, since 2×133313221012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331322131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665661050 + 6665661051.

It is an arithmetic number, because the mean of its divisors is an integer number (6665661051).

Almost surely, 213331322101 is an apocalyptic number.

It is an amenable number.

13331322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331322101 is an equidigital number, since it uses as much as digits as its factorization.

13331322101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13331322101 its reverse (10122313331), we get a palindrome (23453635432).

The spelling of 13331322101 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred one".