11330411403311 has 16 divisors (see below), whose sum is σ = 15212860067328. Its totient is φ = 8149746463200.

The previous prime is 11330411403307. The next prime is 11330411403323.

11330411403311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11330411403311 - 2² = 11330411403307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330411403341) 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 15 ways as a sum of consecutive naturals, for example, 5659545155 + ... + 5659547156.

It is an arithmetic number, because the mean of its divisors is an integer number (950803754208).

Almost surely, 2^{11330411403311} is an apocalyptic number.

11330411403311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11330411403311 is a deficient number, since it is larger than the sum of its proper divisors (3882448664017).

11330411403311 is a wasteful number, since it uses less digits than its factorization.

11330411403311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319092342.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 1133041 and 1403311, that added together give a palindrome (2536352).

The spelling of 11330411403311 in words is "eleven trillion, three hundred thirty billion, four hundred eleven million, four hundred three thousand, three hundred eleven".