10011001000011 has 8 divisors (see below), whose sum is σ = 14561456000064. Its totient is φ = 6067273333320.

The previous prime is 10011001000003. The next prime is 10011001000027. The reversal of 10011001000011 is 11000010011001.

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

It is not a de Polignac number, because 10011001000011 - 2³ = 10011001000003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011001000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151681833301 + ... + 151681833366.

It is an arithmetic number, because the mean of its divisors is an integer number (1820182000008).

Almost surely, 2^{10011001000011} is an apocalyptic number.

10011001000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011001000011 is a deficient number, since it is larger than the sum of its proper divisors (4550455000053).

10011001000011 is a wasteful number, since it uses less digits than its factorization.

10011001000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303363666681.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011001000011 its reverse (11000010011001), we get a palindrome (21011011011012).

The spelling of 10011001000011 in words is "ten trillion, eleven billion, one million, eleven", and thus it is an aban number and an uban number.