11431022013411 has 96 divisors (see below), whose sum is σ = 21392311788288. Its totient is φ = 5333262600960.

The previous prime is 11431022013409. The next prime is 11431022013413.

11431022013411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11431022013409) and next prime (11431022013413).

It is not a de Polignac number, because 11431022013411 - 2¹ = 11431022013409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11431022013413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6570745 + ... + 8126298.

It is an arithmetic number, because the mean of its divisors is an integer number (222836581128).

Almost surely, 2^{11431022013411} is an apocalyptic number.

11431022013411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11431022013411 is a deficient number, since it is larger than the sum of its proper divisors (9961289774877).

11431022013411 is a wasteful number, since it uses less digits than its factorization.

11431022013411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697121 (or 14697114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1143102 and 2013411, that added together give a palindrome (3156513).

The spelling of 11431022013411 in words is "eleven trillion, four hundred thirty-one billion, twenty-two million, thirteen thousand, four hundred eleven".