1311122102304 has 96 divisors (see below), whose sum is σ = 4068999688320. Its totient is φ = 361688850432.

The previous prime is 1311122102249. The next prime is 1311122102309. The reversal of 1311122102304 is 4032012211131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1311122102309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33619729 + ... + 33658704.

It is an arithmetic number, because the mean of its divisors is an integer number (42385413420).

Almost surely, 2^{1311122102304} is an apocalyptic number.

1311122102304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311122102304 is an abundant number, since it is smaller than the sum of its proper divisors (2757877586016).

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

1311122102304 is a wasteful number, since it uses less digits than its factorization.

1311122102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67278482 (or 67278474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1311122102304 its reverse (4032012211131), we get a palindrome (5343134313435).

The spelling of 1311122102304 in words is "one trillion, three hundred eleven billion, one hundred twenty-two million, one hundred two thousand, three hundred four".