11014130133312 has 112 divisors (see below), whose sum is σ = 30683573847360. Its totient is φ = 3477210329088.

The previous prime is 11014130133289. The next prime is 11014130133319. The reversal of 11014130133312 is 21333103141011.

It is a super-2 number, since 2×11014130133312² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014130133319) 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, 13213588 + ... + 14022380.

It is an arithmetic number, because the mean of its divisors is an integer number (273960480780).

Almost surely, 2^{11014130133312} is an apocalyptic number.

11014130133312 is a gapful number since it is divisible by the number (12) 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 11014130133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341786923680).

11014130133312 is an abundant number, since it is smaller than the sum of its proper divisors (19669443714048).

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

11014130133312 is a wasteful number, since it uses less digits than its factorization.

11014130133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812560 (or 812550 counting only the distinct ones).

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

Adding to 11014130133312 its reverse (21333103141011), we get a palindrome (32347233274323).

The spelling of 11014130133312 in words is "eleven trillion, fourteen billion, one hundred thirty million, one hundred thirty-three thousand, three hundred twelve".