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113013220321 is a prime number
BaseRepresentation
bin110100101000000011…
…1001110001111100001
3101210201002022102120201
41221100013032033201
53322422341022241
6123530105305201
711110400344231
oct1512007161741
9353632272521
10113013220321
1143a24020141
1219a9ba95201
13a87085ca01
14568146bcc1
152e168ed931
hex1a501ce3e1

113013220321 has 2 divisors, whose sum is σ = 113013220322. Its totient is φ = 113013220320.

The previous prime is 113013220303. The next prime is 113013220339. The reversal of 113013220321 is 123022310311.

It is a balanced prime because it is at equal distance from previous prime (113013220303) and next prime (113013220339).

It can be written as a sum of positive squares in only one way, i.e., 110250561600 + 2762658721 = 332040^2 + 52561^2 .

It is an emirp because it is prime and its reverse (123022310311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113013220321 - 27 = 113013220193 is a prime.

It is not a weakly prime, because it can be changed into another prime (113013220391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56506610160 + 56506610161.

It is an arithmetic number, because the mean of its divisors is an integer number (56506610161).

Almost surely, 2113013220321 is an apocalyptic number.

It is an amenable number.

113013220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013220321 is an equidigital number, since it uses as much as digits as its factorization.

113013220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 113013220321 its reverse (123022310311), we get a palindrome (236035530632).

The spelling of 113013220321 in words is "one hundred thirteen billion, thirteen million, two hundred twenty thousand, three hundred twenty-one".