11311131126000 has 320 divisors, whose sum is σ = 37033144012800. Its totient is φ = 2969602048000.

The previous prime is 11311131125963. The next prime is 11311131126023. The reversal of 11311131126000 is 62113111311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306275536 + ... + 306312464.

It is an arithmetic number, because the mean of its divisors is an integer number (115728575040).

Almost surely, 2^{11311131126000} is an apocalyptic number.

11311131126000 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 11311131126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516572006400).

11311131126000 is an abundant number, since it is smaller than the sum of its proper divisors (25722012886800).

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

11311131126000 is a wasteful number, since it uses less digits than its factorization.

11311131126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37745 (or 37729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11311131126000 its reverse (62113111311), we get a palindrome (11373244237311).

The spelling of 11311131126000 in words is "eleven trillion, three hundred eleven billion, one hundred thirty-one million, one hundred twenty-six thousand".