10011001102013 has 2 divisors, whose sum is σ = 10011001102014. Its totient is φ = 10011001102012.

The previous prime is 10011001101977. The next prime is 10011001102021. The reversal of 10011001102013 is 31020110011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7647116376964 + 2363884725049 = 2765342^2 + 1537493^2 .

It is an emirp because it is prime and its reverse (31020110011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011001102013 - 2²⁰ = 10011000053437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011001101985 and 10011001102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011001102033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500551006 + 5005500551007.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500551007).

Almost surely, 2^{10011001102013} is an apocalyptic number.

It is an amenable number.

10011001102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011001102013 is an equidigital number, since it uses as much as digits as its factorization.

10011001102013 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 11.

Adding to 10011001102013 its reverse (31020110011001), we get a palindrome (41031111113014).

The spelling of 10011001102013 in words is "ten trillion, eleven billion, one million, one hundred two thousand, thirteen".