11132131311000 has 384 divisors, whose sum is σ = 43114202726400. Its totient is φ = 2537838086400.

The previous prime is 11132131310983. The next prime is 11132131311043. The reversal of 11132131311000 is 11313123111.

11132131311000 is a `hidden beast` number, since 1 + 1 + 1 + 321 + 31 + 311 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 23898321 + ... + 24359679.

It is an arithmetic number, because the mean of its divisors is an integer number (112276569600).

Almost surely, 2^{11132131311000} is an apocalyptic number.

11132131311000 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 11132131311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21557101363200).

11132131311000 is an abundant number, since it is smaller than the sum of its proper divisors (31982071415400).

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

11132131311000 is a wasteful number, since it uses less digits than its factorization.

11132131311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461776 (or 461759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11132131311000 its reverse (11313123111), we get a palindrome (11143444434111).

The spelling of 11132131311000 in words is "eleven trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred eleven thousand".