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111312021133013 is a prime number
BaseRepresentation
bin11001010011110011011001…
…011110101001011011010101
3112121010022210010210001201212
4121103303121132221123111
5104042214004402224023
61032424011522031205
732306012436243251
oct3123633136513325
9477108703701655
10111312021133013
1132516188038558
12105990227a8505
134a158a8a1c44c
141d6b75dc49261
15cd0733b7ee78
hex653cd97a96d5

111312021133013 has 2 divisors, whose sum is σ = 111312021133014. Its totient is φ = 111312021133012.

The previous prime is 111312021132959. The next prime is 111312021133063. The reversal of 111312021133013 is 310331120213111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58241043822724 + 53070977310289 = 7631582^2 + 7284983^2 .

It is a cyclic number.

It is not a de Polignac number, because 111312021133013 - 28 = 111312021132757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111312021133013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111312021133063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656010566506 + 55656010566507.

It is an arithmetic number, because the mean of its divisors is an integer number (55656010566507).

Almost surely, 2111312021133013 is an apocalyptic number.

It is an amenable number.

111312021133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111312021133013 is an equidigital number, since it uses as much as digits as its factorization.

111312021133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 111312021133013 its reverse (310331120213111), we get a palindrome (421643141346124).

The spelling of 111312021133013 in words is "one hundred eleven trillion, three hundred twelve billion, twenty-one million, one hundred thirty-three thousand, thirteen".