1311022011321 has 96 divisors (see below), whose sum is σ = 2161063307520. Its totient is φ = 758832883200.

The previous prime is 1311022011319. The next prime is 1311022011323. The reversal of 1311022011321 is 1231102201131.

1311022011321 is a `hidden beast` number, since 1 + 3 + 110 + 220 + 11 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (1311022011319) and next prime (1311022011323).

It is not a de Polignac number, because 1311022011321 - 2¹ = 1311022011319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311022011294 and 1311022011303.

It is not an unprimeable number, because it can be changed into a prime (1311022011323) 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 95 ways as a sum of consecutive naturals, for example, 59545711 + ... + 59567723.

It is an arithmetic number, because the mean of its divisors is an integer number (22511076120).

Almost surely, 2^{1311022011321} is an apocalyptic number.

1311022011321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311022011321 is a deficient number, since it is larger than the sum of its proper divisors (850041296199).

1311022011321 is a wasteful number, since it uses less digits than its factorization.

1311022011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22367 (or 22364 counting only the distinct ones).

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

Adding to 1311022011321 its reverse (1231102201131), we get a palindrome (2542124212452).

The spelling of 1311022011321 in words is "one trillion, three hundred eleven billion, twenty-two million, eleven thousand, three hundred twenty-one".