11330111103311 has 32 divisors (see below), whose sum is σ = 15213526272000. Its totient is φ = 8148957569280.

The previous prime is 11330111103301. The next prime is 11330111103329.

It is a happy number.

11330111103311 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11330111103311 is a prime.

It is a super-2 number, since 2×11330111103311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330111103301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14112890 + ... + 14894088.

It is an arithmetic number, because the mean of its divisors is an integer number (475422696000).

Almost surely, 2^{11330111103311} is an apocalyptic number.

11330111103311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11330111103311 is a deficient number, since it is larger than the sum of its proper divisors (3883415168689).

11330111103311 is a wasteful number, since it uses less digits than its factorization.

11330111103311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795719.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 1133011 and 1103311, that added together give a palindrome (2236322).

The spelling of 11330111103311 in words is "eleven trillion, three hundred thirty billion, one hundred eleven million, one hundred three thousand, three hundred eleven".