Search a number
-
+
1103312421313 is a prime number
BaseRepresentation
bin10000000011100010100…
…010111000000111000001
310220110211201222012112121
4100003202202320013001
5121034040434440223
62202504342124241
7142466052562354
oct20034242700701
93813751865477
101103312421313
11395a0410a173
121599b5120681
138007111929b
143b58739829b
151da766a915d
hex100e28b81c1

1103312421313 has 2 divisors, whose sum is σ = 1103312421314. Its totient is φ = 1103312421312.

The previous prime is 1103312421311. The next prime is 1103312421349. The reversal of 1103312421313 is 3131242133011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1086812505009 + 16499916304 = 1042503^2 + 128452^2 .

It is a cyclic number.

It is not a de Polignac number, because 1103312421313 - 21 = 1103312421311 is a prime.

Together with 1103312421311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1103312421311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551656210656 + 551656210657.

It is an arithmetic number, because the mean of its divisors is an integer number (551656210657).

Almost surely, 21103312421313 is an apocalyptic number.

It is an amenable number.

1103312421313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1103312421313 is an equidigital number, since it uses as much as digits as its factorization.

1103312421313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1103312421313 its reverse (3131242133011), we get a palindrome (4234554554324).

The spelling of 1103312421313 in words is "one trillion, one hundred three billion, three hundred twelve million, four hundred twenty-one thousand, three hundred thirteen".