11311413003392 has 128 divisors (see below), whose sum is σ = 23583493440000. Its totient is φ = 5397789450240.

The previous prime is 11311413003391. The next prime is 11311413003427. The reversal of 11311413003392 is 29330031411311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11311413003391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137334959 + ... + 137417297.

It is an arithmetic number, because the mean of its divisors is an integer number (184246042500).

Almost surely, 2^{11311413003392} 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 11311413003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11791746720000).

11311413003392 is an abundant number, since it is smaller than the sum of its proper divisors (12272080436608).

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

11311413003392 is an equidigital number, since it uses as much as digits as its factorization.

11311413003392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82862 (or 82850 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 11311413003392 in words is "eleven trillion, three hundred eleven billion, four hundred thirteen million, three thousand, three hundred ninety-two".