1100013110001 has 36 divisors (see below), whose sum is σ = 1768110049524. Its totient is φ = 655094589120.

The previous prime is 1100013109999. The next prime is 1100013110003. The reversal of 1100013110001 is 1000113100011.

It is an interprime number because it is at equal distance from previous prime (1100013109999) and next prime (1100013110003).

It can be written as a sum of positive squares in 2 ways, for example, as 409990493025 + 690022616976 = 640305^2 + 830676^2 .

It is not a de Polignac number, because 1100013110001 - 2¹ = 1100013109999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100013110003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4779250 + ... + 5004123.

Almost surely, 2^{1100013110001} is an apocalyptic number.

It is an amenable number.

1100013110001 is a deficient number, since it is larger than the sum of its proper divisors (668096939523).

1100013110001 is a wasteful number, since it uses less digits than its factorization.

1100013110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9783454 (or 9783420 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1100013110001 its reverse (1000113100011), we get a palindrome (2100126210012).

The spelling of 1100013110001 in words is "one trillion, one hundred billion, thirteen million, one hundred ten thousand, one".