11304131042000 has 40 divisors (see below), whose sum is σ = 27333388864392. Its totient is φ = 4521652416000.

The previous prime is 11304131041967. The next prime is 11304131042021. The reversal of 11304131042000 is 24013140311.

It can be written as a sum of positive squares in 4 ways, for example, as 1370716442176 + 9933414599824 = 1170776^2 + 3151732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×11304131042000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 2826030761 + ... + 2826034760.

Almost surely, 2^{11304131042000} is an apocalyptic number.

11304131042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304131042000 is an abundant number, since it is smaller than the sum of its proper divisors (16029257822392).

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

11304131042000 is an equidigital number, since it uses as much as digits as its factorization.

11304131042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652065544 (or 5652065528 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11304131042000 its reverse (24013140311), we get a palindrome (11328144182311).

The spelling of 11304131042000 in words is "eleven trillion, three hundred four billion, one hundred thirty-one million, forty-two thousand".