1100013001031 has 48 divisors (see below), whose sum is σ = 1348617765600. Its totient is φ = 893721185280.

The previous prime is 1100013001013. The next prime is 1100013001051. The reversal of 1100013001031 is 1301003100011.

It is a happy number.

It is not a de Polignac number, because 1100013001031 - 2¹⁴ = 1100012984647 is a prime.

It is a super-2 number, since 2×1100013001031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9770045 + ... + 9881993.

It is an arithmetic number, because the mean of its divisors is an integer number (28096203450).

Almost surely, 2^{1100013001031} is an apocalyptic number.

1100013001031 is a deficient number, since it is larger than the sum of its proper divisors (248604764569).

1100013001031 is a wasteful number, since it uses less digits than its factorization.

1100013001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112144 (or 112137 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1100013001031 its reverse (1301003100011), we get a palindrome (2401016101042).

The spelling of 1100013001031 in words is "one trillion, one hundred billion, thirteen million, one thousand, thirty-one".