1011010110013 has 2 divisors, whose sum is σ = 1011010110014. Its totient is φ = 1011010110012.

The previous prime is 1011010109951. The next prime is 1011010110041. The reversal of 1011010110013 is 3100110101101.

1011010110013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678280722084 + 332729387929 = 823578^2 + 576827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011010110013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011010110713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505055006 + 505505055007.

It is an arithmetic number, because the mean of its divisors is an integer number (505505055007).

Almost surely, 2^{1011010110013} is an apocalyptic number.

It is an amenable number.

1011010110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011010110013 is an equidigital number, since it uses as much as digits as its factorization.

1011010110013 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 10.

Adding to 1011010110013 its reverse (3100110101101), we get a palindrome (4111120211114).

The spelling of 1011010110013 in words is "one trillion, eleven billion, ten million, one hundred ten thousand, thirteen".