102301032013 has 2 divisors, whose sum is σ = 102301032014. Its totient is φ = 102301032012.

The previous prime is 102301031951. The next prime is 102301032037. The reversal of 102301032013 is 310230103201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59568700489 + 42732331524 = 244067^2 + 206718^2 .

It is an emirp because it is prime and its reverse (310230103201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102301032013 - 2¹⁷ = 102300900941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102301062013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51150516006 + 51150516007.

It is an arithmetic number, because the mean of its divisors is an integer number (51150516007).

Almost surely, 2^102301032013 is an apocalyptic number.

It is an amenable number.

102301032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102301032013 is an equidigital number, since it uses as much as digits as its factorization.

102301032013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102301032013 its reverse (310230103201), we get a palindrome (412531135214).

It can be divided in two parts, 10230103201 and 3, that multiplied together give a palindrome (30690309603).

The spelling of 102301032013 in words is "one hundred two billion, three hundred one million, thirty-two thousand, thirteen".