11311131424 has 96 divisors (see below), whose sum is σ = 24525680256. Its totient is φ = 5113221120.

The previous prime is 11311131379. The next prime is 11311131431. The reversal of 11311131424 is 42413111311.

It is a super-3 number, since 3×11311131424³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11311131395 and 11311131404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422949 + ... + 1430875.

It is an arithmetic number, because the mean of its divisors is an integer number (255475836).

Almost surely, 2^11311131424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262840128).

11311131424 is an abundant number, since it is smaller than the sum of its proper divisors (13214548832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11311131424 is a wasteful number, since it uses less digits than its factorization.

11311131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058 (or 8050 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

Adding to 11311131424 its reverse (42413111311), we get a palindrome (53724242735).

The spelling of 11311131424 in words is "eleven billion, three hundred eleven million, one hundred thirty-one thousand, four hundred twenty-four".