11031012224320 has 112 divisors (see below), whose sum is σ = 28662337928448. Its totient is φ = 4010328565760.

The previous prime is 11031012224311. The next prime is 11031012224321. The reversal of 11031012224320 is 2342221013011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11031012224291 and 11031012224300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031012224321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14602137 + ... + 15338983.

It is an arithmetic number, because the mean of its divisors is an integer number (255913731504).

Almost surely, 2^{11031012224320} is an apocalyptic number.

11031012224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031012224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331168964224).

11031012224320 is an abundant number, since it is smaller than the sum of its proper divisors (17631325704128).

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

11031012224320 is a wasteful number, since it uses less digits than its factorization.

11031012224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741128 (or 741118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11031012224320 its reverse (2342221013011), we get a palindrome (13373233237331).

The spelling of 11031012224320 in words is "eleven trillion, thirty-one billion, twelve million, two hundred twenty-four thousand, three hundred twenty".