1221132111331 has 16 divisors (see below), whose sum is σ = 1382949768960. Its totient is φ = 1068052597920.

The previous prime is 1221132111307. The next prime is 1221132111341. The reversal of 1221132111331 is 1331112311221.

It is not a de Polignac number, because 1221132111331 - 2¹¹ = 1221132109283 is a prime.

It is a super-2 number, since 2×1221132111331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221132111341) 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 15 ways as a sum of consecutive naturals, for example, 6672975 + ... + 6853528.

It is an arithmetic number, because the mean of its divisors is an integer number (86434360560).

Almost surely, 2^{1221132111331} is an apocalyptic number.

1221132111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221132111331 is a deficient number, since it is larger than the sum of its proper divisors (161817657629).

1221132111331 is a wasteful number, since it uses less digits than its factorization.

1221132111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13526826.

The product of its digits is 216, while the sum is 22.

Adding to 1221132111331 its reverse (1331112311221), we get a palindrome (2552244422552).

The spelling of 1221132111331 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-two million, one hundred eleven thousand, three hundred thirty-one".