11310323211000 has 768 divisors, whose sum is σ = 43986969561600. Its totient is φ = 2592393984000.

The previous prime is 11310323210993. The next prime is 11310323211043. The reversal of 11310323211000 is 11232301311.

11310323211000 is a `hidden beast` number, since 1 + 1 + 310 + 32 + 321 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×11310323211000² (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, 983757252 + ... + 983768748.

It is an arithmetic number, because the mean of its divisors is an integer number (57274699950).

Almost surely, 2^{11310323211000} is an apocalyptic number.

11310323211000 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 11310323211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993484780800).

11310323211000 is an abundant number, since it is smaller than the sum of its proper divisors (32676646350600).

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

11310323211000 is a wasteful number, since it uses less digits than its factorization.

11310323211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12060 counting only the distinct ones).

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

Adding to 11310323211000 its reverse (11232301311), we get a palindrome (11321555512311).

The spelling of 11310323211000 in words is "eleven trillion, three hundred ten billion, three hundred twenty-three million, two hundred eleven thousand".