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1221131111311 is a prime number
BaseRepresentation
bin10001110001010001000…
…101100000101110001111
311022201221201121210020201
4101301101011200232033
5130001334031030221
62332551353354331
7154136524120366
oct21612105405617
94281851553221
101221131111311
1143097374a851
121787b64089a7
138b1c9417077
1443162b2a7dd
1521b6edd5891
hex11c51160b8f

1221131111311 has 2 divisors, whose sum is σ = 1221131111312. Its totient is φ = 1221131111310.

The previous prime is 1221131111309. The next prime is 1221131111323. The reversal of 1221131111311 is 1131111311221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1221131111311 - 21 = 1221131111309 is a prime.

It is a super-2 number, since 2×12211311113112 (a number of 25 digits) contains 22 as substring.

Together with 1221131111309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221131151311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610565555655 + 610565555656.

It is an arithmetic number, because the mean of its divisors is an integer number (610565555656).

Almost surely, 21221131111311 is an apocalyptic number.

1221131111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221131111311 is an equidigital number, since it uses as much as digits as its factorization.

1221131111311 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 19.

Adding to 1221131111311 its reverse (1131111311221), we get a palindrome (2352242422532).

The spelling of 1221131111311 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred eleven".