11311322113200 has 240 divisors, whose sum is σ = 39071255529600. Its totient is φ = 2787899443200.

The previous prime is 11311322113193. The next prime is 11311322113207. The reversal of 11311322113200 is 231122311311.

It is an interprime number because it is at equal distance from previous prime (11311322113193) and next prime (11311322113207).

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

It is a super-2 number, since 2×11311322113200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11311322113207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5115330 + ... + 6984929.

It is an arithmetic number, because the mean of its divisors is an integer number (162796898040).

Almost surely, 2^{11311322113200} is an apocalyptic number.

11311322113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311322113200 is an abundant number, since it is smaller than the sum of its proper divisors (27759933416400).

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

11311322113200 is a wasteful number, since it uses less digits than its factorization.

11311322113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12100340 (or 12100329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11311322113200 its reverse (231122311311), we get a palindrome (11542444424511).

The spelling of 11311322113200 in words is "eleven trillion, three hundred eleven billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred".