10011003314661 has 64 divisors (see below), whose sum is σ = 15533166781440. Its totient is φ = 6366408010560.

The previous prime is 10011003314569. The next prime is 10011003314713. The reversal of 10011003314661 is 16641330011001.

It is not a de Polignac number, because 10011003314661 - 2³⁰ = 10009929572837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011003314561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10401306 + ... + 11322948.

It is an arithmetic number, because the mean of its divisors is an integer number (242705730960).

Almost surely, 2^{10011003314661} is an apocalyptic number.

It is an amenable number.

10011003314661 is a deficient number, since it is larger than the sum of its proper divisors (5522163466779).

10011003314661 is a wasteful number, since it uses less digits than its factorization.

10011003314661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921903 (or 921897 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10011003314661 its reverse (16641330011001), we get a palindrome (26652333325662).

The spelling of 10011003314661 in words is "ten trillion, eleven billion, three million, three hundred fourteen thousand, six hundred sixty-one".