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113221120013 is a prime number
BaseRepresentation
bin110100101110010000…
…0010011000000001101
3101211020120111211100022
41221130200103000031
53323334101320023
6124002453311525
711115503432621
oct1513440230015
9354216454308
10113221120013
1144020409271
1219b396355a5
13a8a4951891
1456a0d09181
152e29cb87c8
hex1a5c81300d

113221120013 has 2 divisors, whose sum is σ = 113221120014. Its totient is φ = 113221120012.

The previous prime is 113221119967. The next prime is 113221120049. The reversal of 113221120013 is 310021122311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105418401124 + 7802718889 = 324682^2 + 88333^2 .

It is a cyclic number.

It is not a de Polignac number, because 113221120013 - 232 = 108926152717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113221119973 and 113221120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113221120613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56610560006 + 56610560007.

It is an arithmetic number, because the mean of its divisors is an integer number (56610560007).

Almost surely, 2113221120013 is an apocalyptic number.

It is an amenable number.

113221120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113221120013 is an equidigital number, since it uses as much as digits as its factorization.

113221120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 113221120013 its reverse (310021122311), we get a palindrome (423242242324).

The spelling of 113221120013 in words is "one hundred thirteen billion, two hundred twenty-one million, one hundred twenty thousand, thirteen".