1100013101311 has 8 divisors (see below), whose sum is σ = 1105619703984. Its totient is φ = 1094413172160.

The previous prime is 1100013101267. The next prime is 1100013101329. The reversal of 1100013101311 is 1131013100011.

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

It is a cyclic number.

It is not a de Polignac number, because 1100013101311 - 2²⁵ = 1099979546879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100013101291 and 1100013101300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013101371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337710 + ... + 1997371.

It is an arithmetic number, because the mean of its divisors is an integer number (138202462998).

Almost surely, 2^{1100013101311} is an apocalyptic number.

1100013101311 is a deficient number, since it is larger than the sum of its proper divisors (5606602673).

1100013101311 is a wasteful number, since it uses less digits than its factorization.

1100013101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336761.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1100013101311 its reverse (1131013100011), we get a palindrome (2231026201322).

The spelling of 1100013101311 in words is "one trillion, one hundred billion, thirteen million, one hundred one thousand, three hundred eleven".