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1311022201121 is a prime number
BaseRepresentation
bin10011000100111111000…
…000110011100100100001
311122022222101120021200022
4103010333000303210201
5132434433140413441
62442135243403225
7163501231561463
oct23047700634441
94568871507608
101311022201121
11466001944016
12192102823515
13968237c6039
144764d398133
15241818ec84b
hex1313f033921

1311022201121 has 2 divisors, whose sum is σ = 1311022201122. Its totient is φ = 1311022201120.

The previous prime is 1311022201117. The next prime is 1311022201123. The reversal of 1311022201121 is 1211022201131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801939951121 + 509082250000 = 895511^2 + 713500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311022201121 - 22 = 1311022201117 is a prime.

Together with 1311022201123, 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 1311022201121.

It is not a weakly prime, because it can be changed into another prime (1311022201123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655511100560 + 655511100561.

It is an arithmetic number, because the mean of its divisors is an integer number (655511100561).

Almost surely, 21311022201121 is an apocalyptic number.

It is an amenable number.

1311022201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311022201121 is an equidigital number, since it uses as much as digits as its factorization.

1311022201121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1311022201121 its reverse (1211022201131), we get a palindrome (2522044402252).

The spelling of 1311022201121 in words is "one trillion, three hundred eleven billion, twenty-two million, two hundred one thousand, one hundred twenty-one".