11310444401311 has 8 divisors (see below), whose sum is σ = 12340588308048. Its totient is φ = 10280620776000.

The previous prime is 11310444401287. The next prime is 11310444401339.

11310444401311 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 not a de Polignac number, because 11310444401311 - 2⁵ = 11310444401279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11310444401311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310444401371) 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, 79996510 + ... + 80137771.

It is an arithmetic number, because the mean of its divisors is an integer number (1542573538506).

Almost surely, 2^{11310444401311} is an apocalyptic number.

11310444401311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11310444401311 is a deficient number, since it is larger than the sum of its proper divisors (1030143906737).

11310444401311 is a wasteful number, since it uses less digits than its factorization.

11310444401311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160140713.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1131044 and 4401311, that added together give a palindrome (5532355).

The spelling of 11310444401311 in words is "eleven trillion, three hundred ten billion, four hundred forty-four million, four hundred one thousand, three hundred eleven".