13012313101 has 2 divisors, whose sum is σ = 13012313102. Its totient is φ = 13012313100.

The previous prime is 13012313099. The next prime is 13012313107. The reversal of 13012313101 is 10131321031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10385648100 + 2626665001 = 101910^2 + 51251^2 .

It is a cyclic number.

It is not a de Polignac number, because 13012313101 - 2¹ = 13012313099 is a prime.

Together with 13012313099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13012313107) 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, 6506156550 + 6506156551.

It is an arithmetic number, because the mean of its divisors is an integer number (6506156551).

Almost surely, 2^13012313101 is an apocalyptic number.

It is an amenable number.

13012313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13012313101 is an equidigital number, since it uses as much as digits as its factorization.

13012313101 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.

Adding to 13012313101 its reverse (10131321031), we get a palindrome (23143634132).

The spelling of 13012313101 in words is "thirteen billion, twelve million, three hundred thirteen thousand, one hundred one".