1320210012133 has 16 divisors (see below), whose sum is σ = 1374691595760. Its totient is φ = 1266328627200.

The previous prime is 1320210012083. The next prime is 1320210012137. The reversal of 1320210012133 is 3312100120231.

It can be written as a sum of positive squares in 8 ways, for example, as 3699315684 + 1316510696449 = 60822^2 + 1147393^2 .

It is a cyclic number.

It is not a de Polignac number, because 1320210012133 - 2³³ = 1311620077541 is a prime.

It is a super-2 number, since 2×1320210012133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1320210012133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320210012137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27207253 + ... + 27255733.

It is an arithmetic number, because the mean of its divisors is an integer number (85918224735).

Almost surely, 2^{1320210012133} is an apocalyptic number.

It is an amenable number.

1320210012133 is a deficient number, since it is larger than the sum of its proper divisors (54481583627).

1320210012133 is a wasteful number, since it uses less digits than its factorization.

1320210012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54648.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1320210012133 its reverse (3312100120231), we get a palindrome (4632310132364).

The spelling of 1320210012133 in words is "one trillion, three hundred twenty billion, two hundred ten million, twelve thousand, one hundred thirty-three".