1322001122013 has 64 divisors (see below), whose sum is σ = 2312966799360. Its totient is φ = 735708484800.

The previous prime is 1322001121997. The next prime is 1322001122027. The reversal of 1322001122013 is 3102211002231.

It is not a de Polignac number, because 1322001122013 - 2⁴ = 1322001121997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322001122033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158881 + ... + 1633782.

It is an arithmetic number, because the mean of its divisors is an integer number (36140106240).

Almost surely, 2^{1322001122013} is an apocalyptic number.

1322001122013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1322001122013 is a deficient number, since it is larger than the sum of its proper divisors (990965677347).

1322001122013 is a wasteful number, since it uses less digits than its factorization.

1322001122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792887 (or 1792881 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1322001122013 its reverse (3102211002231), we get a palindrome (4424212124244).

The spelling of 1322001122013 in words is "one trillion, three hundred twenty-two billion, one million, one hundred twenty-two thousand, thirteen".