11411311311411 has 32 divisors (see below), whose sum is σ = 16765610549760. Its totient is φ = 6846245952000.

The previous prime is 11411311311353. The next prime is 11411311311427.

11411311311411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11411311311411 - 2⁶ = 11411311311347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11411311311431) 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, 18491211 + ... + 19098363.

It is an arithmetic number, because the mean of its divisors is an integer number (523925329680).

Almost surely, 2^{11411311311411} is an apocalyptic number.

11411311311411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11411311311411 is a deficient number, since it is larger than the sum of its proper divisors (5354299238349).

11411311311411 is a wasteful number, since it uses less digits than its factorization.

11411311311411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612907.

The product of its digits is 144, while the sum is 24.

It can be divided in two parts, 1141131 and 1311411, that added together give a palindrome (2452542).

The spelling of 11411311311411 in words is "eleven trillion, four hundred eleven billion, three hundred eleven million, three hundred eleven thousand, four hundred eleven".