102000111013 has 2 divisors, whose sum is σ = 102000111014. Its totient is φ = 102000111012.

The previous prime is 102000111011. The next prime is 102000111151. The reversal of 102000111013 is 310111000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100122882084 + 1877228929 = 316422^2 + 43327^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000111013 - 2¹ = 102000111011 is a prime.

Together with 102000111011, 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 (102000111011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000055506 + 51000055507.

It is an arithmetic number, because the mean of its divisors is an integer number (51000055507).

Almost surely, 2^102000111013 is an apocalyptic number.

It is an amenable number.

102000111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000111013 is an equidigital number, since it uses as much as digits as its factorization.

102000111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 102000111013 its reverse (310111000201), we get a palindrome (412111111214).

The spelling of 102000111013 in words is "one hundred two billion, one hundred eleven thousand, thirteen".