11011131241000 has 64 divisors (see below), whose sum is σ = 28108415050560. Its totient is φ = 4004047720000.

The previous prime is 11011131240937. The next prime is 11011131241003. The reversal of 11011131241000 is 14213111011.

It is a super-2 number, since 2×11011131241000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11011131241003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500494966 + ... + 500516965.

It is an arithmetic number, because the mean of its divisors is an integer number (439193985165).

Almost surely, 2^{11011131241000} is an apocalyptic number.

11011131241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011131241000 is an abundant number, since it is smaller than the sum of its proper divisors (17097283809560).

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

11011131241000 is a wasteful number, since it uses less digits than its factorization.

11011131241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001011963 (or 1001011949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11011131241000 its reverse (14213111011), we get a palindrome (11025344352011).

The spelling of 11011131241000 in words is "eleven trillion, eleven billion, one hundred thirty-one million, two hundred forty-one thousand".