11331120231000 has 768 divisors, whose sum is σ = 40764746880000. Its totient is φ = 2830823424000.

The previous prime is 11331120230957. The next prime is 11331120231029. The reversal of 11331120231000 is 13202113311.

11331120231000 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 20 + 2 + 310 + 0 + 0 = 666.

11331120231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11331120231000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8041958296 + ... + 8041959704.

It is an arithmetic number, because the mean of its divisors is an integer number (53079097500).

Almost surely, 2^{11331120231000} is an apocalyptic number.

11331120231000 is a gapful number since it is divisible by the number (10) 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 11331120231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382373440000).

11331120231000 is an abundant number, since it is smaller than the sum of its proper divisors (29433626649000).

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

11331120231000 is a wasteful number, since it uses less digits than its factorization.

11331120231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331120231000 its reverse (13202113311), we get a palindrome (11344322344311).

The spelling of 11331120231000 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty million, two hundred thirty-one thousand".