1311000221311 has 8 divisors (see below), whose sum is σ = 1444342279248. Its totient is φ = 1180018200000.

The previous prime is 1311000221239. The next prime is 1311000221339. The reversal of 1311000221311 is 1131220001131.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1311000221311 - 2⁷ = 1311000221183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311000221371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590007990 + ... + 590010211.

It is an arithmetic number, because the mean of its divisors is an integer number (180542784906).

Almost surely, 2^{1311000221311} is an apocalyptic number.

1311000221311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311000221311 is a deficient number, since it is larger than the sum of its proper divisors (133342057937).

1311000221311 is a wasteful number, since it uses less digits than its factorization.

1311000221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180018313.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1311000221311 its reverse (1131220001131), we get a palindrome (2442220222442).

The spelling of 1311000221311 in words is "one trillion, three hundred eleven billion, two hundred twenty-one thousand, three hundred eleven".