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3012113121113 is a prime number
BaseRepresentation
bin101011110101001111111…
…011101011111101011001
3101122221210100020120210102
4223311033323223331121
5343322301424333423
610223425021425145
7430421654042015
oct53651773537531
911587710216712
103012113121113
11a61480370978
1240792670b1b5
1318b06c2505a5
14a5b0395d545
1553542dabc28
hex2bd4feebf59

3012113121113 has 2 divisors, whose sum is σ = 3012113121114. Its totient is φ = 3012113121112.

The previous prime is 3012113121109. The next prime is 3012113121131. The reversal of 3012113121113 is 3111213112103.

3012113121113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (3012113121131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2739908841289 + 272204279824 = 1655267^2 + 521732^2 .

It is a cyclic number.

It is not a de Polignac number, because 3012113121113 - 22 = 3012113121109 is a prime.

It is not a weakly prime, because it can be changed into another prime (3012113121163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506056560556 + 1506056560557.

It is an arithmetic number, because the mean of its divisors is an integer number (1506056560557).

Almost surely, 23012113121113 is an apocalyptic number.

It is an amenable number.

3012113121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012113121113 is an equidigital number, since it uses as much as digits as its factorization.

3012113121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 3012113121113 its reverse (3111213112103), we get a palindrome (6123326233216).

The spelling of 3012113121113 in words is "three trillion, twelve billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred thirteen".