11131313120304 has 320 divisors, whose sum is σ = 32640390881280. Its totient is φ = 3245422878720.

The previous prime is 11131313120219. The next prime is 11131313120321. The reversal of 11131313120304 is 40302131313111.

It is a super-2 number, since 2×11131313120304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177295062 + ... + 177357834.

It is an arithmetic number, because the mean of its divisors is an integer number (102001221504).

Almost surely, 2^{11131313120304} 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 11131313120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320195440640).

11131313120304 is an abundant number, since it is smaller than the sum of its proper divisors (21509077760976).

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

11131313120304 is a wasteful number, since it uses less digits than its factorization.

11131313120304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63020 (or 63014 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11131313120304 its reverse (40302131313111), we get a palindrome (51433444433415).

The spelling of 11131313120304 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirteen million, one hundred twenty thousand, three hundred four".