1110000010013 has 2 divisors, whose sum is σ = 1110000010014. Its totient is φ = 1110000010012.

The previous prime is 1110000010001. The next prime is 1110000010019. The reversal of 1110000010013 is 3100100000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1023532843204 + 86467166809 = 1011698^2 + 294053^2 .

It is an emirp because it is prime and its reverse (3100100000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1110000010013 - 2¹⁴ = 1109999993629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110000010019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555000005006 + 555000005007.

It is an arithmetic number, because the mean of its divisors is an integer number (555000005007).

Almost surely, 2^{1110000010013} is an apocalyptic number.

It is an amenable number.

1110000010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110000010013 is an equidigital number, since it uses as much as digits as its factorization.

1110000010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1110000010013 its reverse (3100100000111), we get a palindrome (4210100010124).

The spelling of 1110000010013 in words is "one trillion, one hundred ten billion, ten thousand, thirteen".