Search a number
-
+
113130330130313 is a prime number
BaseRepresentation
bin11001101110010000110101…
…001001000000011110001001
3112211120011011012221122211122
4121232100311021000132021
5104312011404003132223
61040335204534205025
732554253020561226
oct3156206511003611
9484504135848748
10113130330130313
1133057338069871
12108314ba7b3775
134b181b51c3062
141dd17740ba94d
15d12ba5c7b5c8
hex66e435240789

113130330130313 has 2 divisors, whose sum is σ = 113130330130314. Its totient is φ = 113130330130312.

The previous prime is 113130330130297. The next prime is 113130330130403. The reversal of 113130330130313 is 313031033031311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84280239902329 + 28850090227984 = 9180427^2 + 5371228^2 .

It is a cyclic number.

It is not a de Polignac number, because 113130330130313 - 24 = 113130330130297 is a prime.

It is a super-2 number, since 2×1131303301303132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113130330630313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565165065156 + 56565165065157.

It is an arithmetic number, because the mean of its divisors is an integer number (56565165065157).

Almost surely, 2113130330130313 is an apocalyptic number.

It is an amenable number.

113130330130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113130330130313 is an equidigital number, since it uses as much as digits as its factorization.

113130330130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 113130330130313 its reverse (313031033031311), we get a palindrome (426161363161624).

The spelling of 113130330130313 in words is "one hundred thirteen trillion, one hundred thirty billion, three hundred thirty million, one hundred thirty thousand, three hundred thirteen".