11131117312 has 72 divisors (see below), whose sum is σ = 25431954912. Its totient is φ = 4763136000.

The previous prime is 11131117267. The next prime is 11131117351. The reversal of 11131117312 is 21371113111.

It is a super-2 number, since 2×11131117312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251762 + ... + 1260622.

It is an arithmetic number, because the mean of its divisors is an integer number (353221596).

Almost surely, 2^11131117312 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 11131117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715977456).

11131117312 is an abundant number, since it is smaller than the sum of its proper divisors (14300837600).

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

11131117312 is an frugal number, since it uses more digits than its factorization.

11131117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9571 counting only the distinct ones).

The product of its digits is 126, while the sum is 22.

The spelling of 11131117312 in words is "eleven billion, one hundred thirty-one million, one hundred seventeen thousand, three hundred twelve".