1311310012221 has 24 divisors (see below), whose sum is σ = 2068434856800. Its totient is φ = 793914813600.

The previous prime is 1311310012219. The next prime is 1311310012231. The reversal of 1311310012221 is 1222100131131.

1311310012221 is a `hidden beast` number, since 1 + 311 + 310 + 0 + 1 + 22 + 21 = 666.

It is not a de Polignac number, because 1311310012221 - 2¹ = 1311310012219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311310012194 and 1311310012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311310012211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6724446 + ... + 6916703.

It is an arithmetic number, because the mean of its divisors is an integer number (86184785700).

Almost surely, 2^{1311310012221} is an apocalyptic number.

1311310012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311310012221 is a deficient number, since it is larger than the sum of its proper divisors (757124844579).

1311310012221 is a wasteful number, since it uses less digits than its factorization.

1311310012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13642137 (or 13642134 counting only the distinct ones).

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

Adding to 1311310012221 its reverse (1222100131131), we get a palindrome (2533410143352).

The spelling of 1311310012221 in words is "one trillion, three hundred eleven billion, three hundred ten million, twelve thousand, two hundred twenty-one".