1311311111001 has 8 divisors (see below), whose sum is σ = 1748427836064. Its totient is φ = 874200896640.

The previous prime is 1311311110981. The next prime is 1311311111059. The reversal of 1311311111001 is 1001111131131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1311311111001 - 2²⁶ = 1311244002137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311311111701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136551 + ... + 1978476.

It is an arithmetic number, because the mean of its divisors is an integer number (218553479508).

Almost surely, 2^{1311311111001} is an apocalyptic number.

It is an amenable number.

1311311111001 is a deficient number, since it is larger than the sum of its proper divisors (437116725063).

1311311111001 is a wasteful number, since it uses less digits than its factorization.

1311311111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255351.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 1311311111001 its reverse (1001111131131), we get a palindrome (2312422242132).

The spelling of 1311311111001 in words is "one trillion, three hundred eleven billion, three hundred eleven million, one hundred eleven thousand, one".