11031100113011 has 8 divisors (see below), whose sum is σ = 12040393795248. Its totient is φ = 10022884164000.

The previous prime is 11031100112971. The next prime is 11031100113043.

11031100113011 is nontrivially palindromic in base 10.

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-11031100113011 is a prime.

It is a super-2 number, since 2×11031100113011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11031100113091) 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 7 ways as a sum of consecutive naturals, for example, 269411900 + ... + 269452841.

It is an arithmetic number, because the mean of its divisors is an integer number (1505049224406).

Almost surely, 2^{11031100113011} is an apocalyptic number.

11031100113011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11031100113011 is a deficient number, since it is larger than the sum of its proper divisors (1009293682237).

11031100113011 is a wasteful number, since it uses less digits than its factorization.

11031100113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538866613.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 11031100 and 113011, that added together give a palindrome (11144111).

The spelling of 11031100113011 in words is "eleven trillion, thirty-one billion, one hundred million, one hundred thirteen thousand, eleven".