1322033101312 has 160 divisors (see below), whose sum is σ = 3347273153664. Its totient is φ = 506633011200.

The previous prime is 1322033101307. The next prime is 1322033101313. The reversal of 1322033101312 is 2131013302231.

It is a super-2 number, since 2×1322033101312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1322033101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2129998 + ... + 2679730.

Almost surely, 2^{1322033101312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322033101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673636576832).

1322033101312 is an abundant number, since it is smaller than the sum of its proper divisors (2025240052352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322033101312 is an equidigital number, since it uses as much as digits as its factorization.

1322033101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549830 (or 549814 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1322033101312 its reverse (2131013302231), we get a palindrome (3453046403543).

The spelling of 1322033101312 in words is "one trillion, three hundred twenty-two billion, thirty-three million, one hundred one thousand, three hundred twelve".