11311121340000 has 240 divisors, whose sum is σ = 41225268878640. Its totient is φ = 3016298880000.

The previous prime is 11311121339939. The next prime is 11311121340053. The reversal of 11311121340000 is 4312111311.

It is a happy number.

11311121340000 is a `hidden beast` number, since 1 + 1 + 311 + 12 + 1 + 340 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 9933261 + ... + 11013260.

It is an arithmetic number, because the mean of its divisors is an integer number (171771953661).

Almost surely, 2^{11311121340000} is an apocalyptic number.

11311121340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311121340000 is an abundant number, since it is smaller than the sum of its proper divisors (29914147538640).

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

11311121340000 is an equidigital number, since it uses as much as digits as its factorization.

11311121340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20946560 (or 20946531 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11311121340000 its reverse (4312111311), we get a palindrome (11315433451311).

The spelling of 11311121340000 in words is "eleven trillion, three hundred eleven billion, one hundred twenty-one million, three hundred forty thousand".