11331100113311 has 16 divisors (see below), whose sum is σ = 13089602356128. Its totient is φ = 9694116096000.

The previous prime is 11331100113247. The next prime is 11331100113313.

It is a happy number.

11331100113311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11331100113311 - 2⁶ = 11331100113247 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331100113313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014890 + ... + 4867463.

It is an arithmetic number, because the mean of its divisors is an integer number (818100147258).

Almost surely, 2^{11331100113311} is an apocalyptic number.

11331100113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11331100113311 is a deficient number, since it is larger than the sum of its proper divisors (1758502242817).

11331100113311 is a wasteful number, since it uses less digits than its factorization.

11331100113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892682.

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

It can be divided in two parts, 11331100 and 113311, that multiplied together give a square (1283938272100 = 1133110²).

The spelling of 11331100113311 in words is "eleven trillion, three hundred thirty-one billion, one hundred million, one hundred thirteen thousand, three hundred eleven".