1010120011013 has 2 divisors, whose sum is σ = 1010120011014. Its totient is φ = 1010120011012.

The previous prime is 1010120011001. The next prime is 1010120011099. The reversal of 1010120011013 is 3101100210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 827921649604 + 182198361409 = 909902^2 + 426847^2 .

It is an emirp because it is prime and its reverse (3101100210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010120011013 - 2⁴ = 1010120010997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010120010985 and 1010120011003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010120011913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060005506 + 505060005507.

It is an arithmetic number, because the mean of its divisors is an integer number (505060005507).

Almost surely, 2^{1010120011013} is an apocalyptic number.

It is an amenable number.

1010120011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120011013 is an equidigital number, since it uses as much as digits as its factorization.

1010120011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1010120011013 its reverse (3101100210101), we get a palindrome (4111220221114).

The spelling of 1010120011013 in words is "one trillion, ten billion, one hundred twenty million, eleven thousand, thirteen".