1311322112001 has 24 divisors (see below), whose sum is σ = 2075194139616. Its totient is φ = 791329755840.

The previous prime is 1311322111999. The next prime is 1311322112003. The reversal of 1311322112001 is 1002112231131.

1311322112001 is a `hidden beast` number, since 1 + 311 + 322 + 11 + 20 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1311322111999) and next prime (1311322112003).

It is not a de Polignac number, because 1311322112001 - 2¹ = 1311322111999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311322112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28401135 + ... + 28447268.

It is an arithmetic number, because the mean of its divisors is an integer number (86466422484).

Almost surely, 2^{1311322112001} is an apocalyptic number.

1311322112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311322112001 is a deficient number, since it is larger than the sum of its proper divisors (763872027615).

1311322112001 is a wasteful number, since it uses less digits than its factorization.

1311322112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56848653 (or 56848650 counting only the distinct ones).

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

Adding to 1311322112001 its reverse (1002112231131), we get a palindrome (2313434343132).

The spelling of 1311322112001 in words is "one trillion, three hundred eleven billion, three hundred twenty-two million, one hundred twelve thousand, one".