11313121012144 has 120 divisors (see below), whose sum is σ = 26186884869600. Its totient is φ = 4718059637760.

The previous prime is 11313121012117. The next prime is 11313121012169. The reversal of 11313121012144 is 44121012131311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12051637 + ... + 12956395.

It is an arithmetic number, because the mean of its divisors is an integer number (218224040580).

Almost surely, 2^{11313121012144} is an apocalyptic number.

11313121012144 is a gapful number since it is divisible by the number (14) 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 11313121012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13093442434800).

11313121012144 is an abundant number, since it is smaller than the sum of its proper divisors (14873763857456).

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

11313121012144 is a wasteful number, since it uses less digits than its factorization.

11313121012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905211 (or 905198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 11313121012144 its reverse (44121012131311), we get a palindrome (55434133143455).

The spelling of 11313121012144 in words is "eleven trillion, three hundred thirteen billion, one hundred twenty-one million, twelve thousand, one hundred forty-four".