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1101312313 is a prime number
BaseRepresentation
bin100000110100100…
…1011000100111001
32211202022110110221
41001221023010321
54223413443223
6301140540041
736202000033
oct10151130471
92752273427
101101312313
11515731272
122689b1621
131472200ba
14a63a0c53
1566a44b5d
hex41a4b139

1101312313 has 2 divisors, whose sum is σ = 1101312314. Its totient is φ = 1101312312.

The previous prime is 1101312301. The next prime is 1101312353. The reversal of 1101312313 is 3132131011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 821854224 + 279458089 = 28668^2 + 16717^2 .

It is an emirp because it is prime and its reverse (3132131011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1101312313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101312353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550656156 + 550656157.

It is an arithmetic number, because the mean of its divisors is an integer number (550656157).

Almost surely, 21101312313 is an apocalyptic number.

It is an amenable number.

1101312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101312313 is an equidigital number, since it uses as much as digits as its factorization.

1101312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1101312313 is about 33186.0258693324. The cubic root of 1101312313 is about 1032.6904597769.

Adding to 1101312313 its reverse (3132131011), we get a palindrome (4233443324).

The spelling of 1101312313 in words is "one billion, one hundred one million, three hundred twelve thousand, three hundred thirteen".