10001001000011 has 32 divisors (see below), whose sum is σ = 11524541801472. Its totient is φ = 8501426524800.

The previous prime is 10001000999953. The next prime is 10001001000043. The reversal of 10001001000011 is 11000010010001.

It is a cyclic number.

It is not a de Polignac number, because 10001001000011 - 2³⁸ = 9726123093067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001000999959 and 10001001000004.

It is not an unprimeable number, because it can be changed into a prime (10001001000911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970871561 + ... + 970881861.

It is an arithmetic number, because the mean of its divisors is an integer number (360141931296).

Almost surely, 2^{10001001000011} is an apocalyptic number.

10001001000011 is a deficient number, since it is larger than the sum of its proper divisors (1523540801461).

10001001000011 is a wasteful number, since it uses less digits than its factorization.

10001001000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12299.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001001000011 its reverse (11000010010001), we get a palindrome (21001011010012).

The spelling of 10001001000011 in words is "ten trillion, one billion, one million, eleven", and thus it is an aban number and an uban number.