1300013101 has 2 divisors, whose sum is σ = 1300013102. Its totient is φ = 1300013100.

The previous prime is 1300013089. The next prime is 1300013119. The reversal of 1300013101 is 1013100031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000203876 + 299809225 = 31626^2 + 17315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300013101 - 2¹⁷ = 1299882029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300013191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650006550 + 650006551.

It is an arithmetic number, because the mean of its divisors is an integer number (650006551).

Almost surely, 2^1300013101 is an apocalyptic number.

It is an amenable number.

1300013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300013101 is an equidigital number, since it uses as much as digits as its factorization.

1300013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1300013101 is about 36055.6944323639. The cubic root of 1300013101 is about 1091.3965492893.

Adding to 1300013101 its reverse (1013100031), we get a palindrome (2313113132).

The spelling of 1300013101 in words is "one billion, three hundred million, thirteen thousand, one hundred one".