1230105013 has 2 divisors, whose sum is σ = 1230105014. Its totient is φ = 1230105012.

The previous prime is 1230105007. The next prime is 1230105029. The reversal of 1230105013 is 3105010321.

It is an a-pointer prime, because the next prime (1230105029) can be obtained adding 1230105013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 791747044 + 438357969 = 28138^2 + 20937^2 .

It is a cyclic number.

It is not a de Polignac number, because 1230105013 - 2¹³ = 1230096821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1230103013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615052506 + 615052507.

It is an arithmetic number, because the mean of its divisors is an integer number (615052507).

Almost surely, 2^1230105013 is an apocalyptic number.

It is an amenable number.

1230105013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1230105013 is an equidigital number, since it uses as much as digits as its factorization.

1230105013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1230105013 is about 35072.8529349980. The cubic root of 1230105013 is about 1071.4717607640.

Adding to 1230105013 its reverse (3105010321), we get a palindrome (4335115334).

The spelling of 1230105013 in words is "one billion, two hundred thirty million, one hundred five thousand, thirteen".