11331131333104 has 160 divisors (see below), whose sum is σ = 25970537779200. Its totient is φ = 4735651430400.

The previous prime is 11331131333069. The next prime is 11331131333129. The reversal of 11331131333104 is 40133313113311.

11331131333104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18394704 + ... + 19000720.

It is an arithmetic number, because the mean of its divisors is an integer number (162315861120).

Almost surely, 2^{11331131333104} 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 11331131333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985268889600).

11331131333104 is an abundant number, since it is smaller than the sum of its proper divisors (14639406446096).

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

11331131333104 is a wasteful number, since it uses less digits than its factorization.

11331131333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606239 (or 606233 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 11331131333104 its reverse (40133313113311), we get a palindrome (51464444446415).

It can be divided in two parts, 113311 and 31333104, that added together give a triangular number (31446415 = T₇₉₃₀).

The spelling of 11331131333104 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred four".