11331130213000 has 128 divisors (see below), whose sum is σ = 29022555875040. Its totient is φ = 4115214720000.

The previous prime is 11331130212991. The next prime is 11331130213033. The reversal of 11331130213000 is 31203113311.

It can be written as a sum of positive squares in 16 ways, for example, as 1269457396804 + 10061672816196 = 1126702^2 + 3172014^2 .

It is a super-2 number, since 2×11331130213000² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6351471 + ... + 7937470.

Almost surely, 2^{11331130213000} is an apocalyptic number.

11331130213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331130213000 is an abundant number, since it is smaller than the sum of its proper divisors (17691425662040).

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

11331130213000 is a wasteful number, since it uses less digits than its factorization.

11331130213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14289036 (or 14289022 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11331130213000 its reverse (31203113311), we get a palindrome (11362333326311).

The spelling of 11331130213000 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thirteen thousand".