11031010312144 has 80 divisors (see below), whose sum is σ = 22261945680000. Its totient is φ = 5288626506240.

The previous prime is 11031010312139. The next prime is 11031010312181. The reversal of 11031010312144 is 44121301013011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524800867 + ... + 524821885.

It is an arithmetic number, because the mean of its divisors is an integer number (278274321000).

Almost surely, 2^{11031010312144} 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 11031010312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130972840000).

11031010312144 is an abundant number, since it is smaller than the sum of its proper divisors (11230935367856).

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

11031010312144 is a wasteful number, since it uses less digits than its factorization.

11031010312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28796 (or 28790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11031010312144 its reverse (44121301013011), we get a palindrome (55152311325155).

The spelling of 11031010312144 in words is "eleven trillion, thirty-one billion, ten million, three hundred twelve thousand, one hundred forty-four".