1311224221131 has 96 divisors (see below), whose sum is σ = 2001622710528. Its totient is φ = 762300000000.

The previous prime is 1311224221103. The next prime is 1311224221133.

1311224221131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1311224221131 - 2¹⁰ = 1311224220107 is a prime.

It is a super-2 number, since 2×1311224221131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311224221133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340487356 + ... + 340491206.

It is an arithmetic number, because the mean of its divisors is an integer number (20850236568).

Almost surely, 2^{1311224221131} is an apocalyptic number.

1311224221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311224221131 is a deficient number, since it is larger than the sum of its proper divisors (690398489397).

1311224221131 is a wasteful number, since it uses less digits than its factorization.

1311224221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4254 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The spelling of 1311224221131 in words is "one trillion, three hundred eleven billion, two hundred twenty-four million, two hundred twenty-one thousand, one hundred thirty-one".