11131141433000 has 128 divisors (see below), whose sum is σ = 27181964759040. Its totient is φ = 4258460800000.

The previous prime is 11131141432997. The next prime is 11131141433047. The reversal of 11131141433000 is 33414113111.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357657440 + ... + 357688560.

It is an arithmetic number, because the mean of its divisors is an integer number (212359099680).

Almost surely, 2^{11131141433000} is an apocalyptic number.

11131141433000 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 11131141433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590982379520).

11131141433000 is an abundant number, since it is smaller than the sum of its proper divisors (16050823326040).

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

11131141433000 is a wasteful number, since it uses less digits than its factorization.

11131141433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46716 (or 46702 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11131141433000 its reverse (33414113111), we get a palindrome (11164555546111).

The spelling of 11131141433000 in words is "eleven trillion, one hundred thirty-one billion, one hundred forty-one million, four hundred thirty-three thousand".