1322303414133 has 48 divisors (see below), whose sum is σ = 1973789067264. Its totient is φ = 786245279040.

The previous prime is 1322303414083. The next prime is 1322303414149. The reversal of 1322303414133 is 3314143032231.

It is not a de Polignac number, because 1322303414133 - 2²⁹ = 1321766543221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1322303414133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322303413133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10040610 + ... + 10171452.

It is an arithmetic number, because the mean of its divisors is an integer number (41120605568).

Almost surely, 2^{1322303414133} is an apocalyptic number.

1322303414133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1322303414133 is a deficient number, since it is larger than the sum of its proper divisors (651485653131).

1322303414133 is a wasteful number, since it uses less digits than its factorization.

1322303414133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131546 (or 131533 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 1322303414133 its reverse (3314143032231), we get a palindrome (4636446446364).

The spelling of 1322303414133 in words is "one trillion, three hundred twenty-two billion, three hundred three million, four hundred fourteen thousand, one hundred thirty-three".