1011011002013 has 8 divisors (see below), whose sum is σ = 1026588775608. Its totient is φ = 995479939584.

The previous prime is 1011011002003. The next prime is 1011011002097. The reversal of 1011011002013 is 3102001101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35268088804 + 975742913209 = 187798^2 + 987797^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011011002013 - 2¹⁴ = 1011010985629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011011001985 and 1011011002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11634170 + ... + 11720747.

It is an arithmetic number, because the mean of its divisors is an integer number (128323596951).

Almost surely, 2^{1011011002013} is an apocalyptic number.

It is an amenable number.

1011011002013 is a deficient number, since it is larger than the sum of its proper divisors (15577773595).

1011011002013 is an equidigital number, since it uses as much as digits as its factorization.

1011011002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23355583.

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

Adding to 1011011002013 its reverse (3102001101101), we get a palindrome (4113012103114).

The spelling of 1011011002013 in words is "one trillion, eleven billion, eleven million, two thousand, thirteen".