102023013013 has 2 divisors, whose sum is σ = 102023013014. Its totient is φ = 102023013012.

The previous prime is 102023012981. The next prime is 102023013023. The reversal of 102023013013 is 310310320201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64222710084 + 37800302929 = 253422^2 + 194423^2 .

It is a cyclic number.

It is not a de Polignac number, because 102023013013 - 2⁵ = 102023012981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102023013023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011506506 + 51011506507.

It is an arithmetic number, because the mean of its divisors is an integer number (51011506507).

Almost surely, 2^102023013013 is an apocalyptic number.

It is an amenable number.

102023013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102023013013 is an equidigital number, since it uses as much as digits as its factorization.

102023013013 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 102023013013 its reverse (310310320201), we get a palindrome (412333333214).

The spelling of 102023013013 in words is "one hundred two billion, twenty-three million, thirteen thousand, thirteen".