1311211110321 has 96 divisors (see below), whose sum is σ = 2389225752576. Its totient is φ = 675682560000.

The previous prime is 1311211110299. The next prime is 1311211110323. The reversal of 1311211110321 is 1230111121131.

1311211110321 is a `hidden beast` number, since 1 + 311 + 21 + 1 + 1 + 10 + 321 = 666.

It is not a de Polignac number, because 1311211110321 - 2²² = 1311206916017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311211110294 and 1311211110303.

It is not an unprimeable number, because it can be changed into a prime (1311211110323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3157791 + ... + 3548811.

It is an arithmetic number, because the mean of its divisors is an integer number (24887768256).

Almost surely, 2^{1311211110321} is an apocalyptic number.

It is an amenable number.

1311211110321 is a deficient number, since it is larger than the sum of its proper divisors (1078014642255).

1311211110321 is a wasteful number, since it uses less digits than its factorization.

1311211110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391183 (or 391180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1311211110321 its reverse (1230111121131), we get a palindrome (2541322231452).

The spelling of 1311211110321 in words is "one trillion, three hundred eleven billion, two hundred eleven million, one hundred ten thousand, three hundred twenty-one".