11011110231000 has 384 divisors, whose sum is σ = 37777825612800. Its totient is φ = 2668223008000.

The previous prime is 11011110230977. The next prime is 11011110231029. The reversal of 11011110231000 is 13201111011.

It is a super-2 number, since 2×11011110231000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1119124081 + ... + 1119133919.

It is an arithmetic number, because the mean of its divisors is an integer number (98379754200).

Almost surely, 2^{11011110231000} is an apocalyptic number.

11011110231000 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 11011110231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18888912806400).

11011110231000 is an abundant number, since it is smaller than the sum of its proper divisors (26766715381800).

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

11011110231000 is a wasteful number, since it uses less digits than its factorization.

11011110231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12968 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11011110231000 its reverse (13201111011), we get a palindrome (11024311342011).

It can be divided in two parts, 11011 and 110231000, that added together give a palindrome (110242011).

The spelling of 11011110231000 in words is "eleven trillion, eleven billion, one hundred ten million, two hundred thirty-one thousand".