1322331121413 has 20 divisors (see below), whose sum is σ = 1975367337900. Its totient is φ = 881539267392.

The previous prime is 1322331121403. The next prime is 1322331121469. The reversal of 1322331121413 is 3141211332231.

1322331121413 is a `hidden beast` number, since 1 + 3 + 2 + 233 + 1 + 12 + 1 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 819455836644 + 502875284769 = 905238^2 + 709137^2 .

It is not a de Polignac number, because 1322331121413 - 2¹⁷ = 1322330990341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322331121403) 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 19 ways as a sum of consecutive naturals, for example, 6975913 + ... + 7162961.

It is an arithmetic number, because the mean of its divisors is an integer number (98768366895).

Almost surely, 2^{1322331121413} is an apocalyptic number.

It is an amenable number.

1322331121413 is a deficient number, since it is larger than the sum of its proper divisors (653036216487).

1322331121413 is an equidigital number, since it uses as much as digits as its factorization.

1322331121413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274338 (or 274329 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1322331121413 its reverse (3141211332231), we get a palindrome (4463542453644).

The spelling of 1322331121413 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-one million, one hundred twenty-one thousand, four hundred thirteen".