1011001010011 has 8 divisors (see below), whose sum is σ = 1015450632000. Its totient is φ = 1006553217600.

The previous prime is 1011001009969. The next prime is 1011001010021. The reversal of 1011001010011 is 1100101001101.

It is a happy number.

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 1011001010011 - 2¹⁹ = 1011000485723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011001009976 and 1011001010003.

It is not an unprimeable number, because it can be changed into a prime (1011001010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656161 + ... + 1566061.

It is an arithmetic number, because the mean of its divisors is an integer number (126931329000).

Almost surely, 2^{1011001010011} is an apocalyptic number.

1011001010011 is a deficient number, since it is larger than the sum of its proper divisors (4449621989).

1011001010011 is an equidigital number, since it uses as much as digits as its factorization.

1011001010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914789.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1011001010011 its reverse (1100101001101), we get a palindrome (2111102011112).

It can be divided in two parts, 101100 and 1010011, that added together give a palindrome (1111111).

The spelling of 1011001010011 in words is "one trillion, eleven billion, one million, ten thousand, eleven".