1100013000311 has 8 divisors (see below), whose sum is σ = 1158021034800. Its totient is φ = 1042016227200.

The previous prime is 1100013000299. The next prime is 1100013000329. The reversal of 1100013000311 is 1130003100011.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100013000311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100013000292 and 1100013000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013000341) 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, 2614466 + ... + 3005903.

It is an arithmetic number, because the mean of its divisors is an integer number (144752629350).

Almost surely, 2^{1100013000311} is an apocalyptic number.

1100013000311 is a deficient number, since it is larger than the sum of its proper divisors (58008034489).

1100013000311 is a wasteful number, since it uses less digits than its factorization.

1100013000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630689.

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

Adding to 1100013000311 its reverse (1130003100011), we get a palindrome (2230016100322).

The spelling of 1100013000311 in words is "one trillion, one hundred billion, thirteen million, three hundred eleven", and thus it is an aban number.