1331333333213 has 16 divisors (see below), whose sum is σ = 1434857716656. Its totient is φ = 1227968501760.

The previous prime is 1331333333147. The next prime is 1331333333249. The reversal of 1331333333213 is 3123333331331.

It can be written as a sum of positive squares in 8 ways, for example, as 22684275769 + 1308649057444 = 150613^2 + 1143962^2 .

It is not a de Polignac number, because 1331333333213 - 2²⁴ = 1331316555997 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 1331333333213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331333333263) 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, 176542223 + ... + 176549763.

It is an arithmetic number, because the mean of its divisors is an integer number (89678607291).

Almost surely, 2^{1331333333213} is an apocalyptic number.

1331333333213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331333333213 is a deficient number, since it is larger than the sum of its proper divisors (103524383443).

1331333333213 is a wasteful number, since it uses less digits than its factorization.

1331333333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16304.

The product of its digits is 39366, while the sum is 32.

Adding to 1331333333213 its reverse (3123333331331), we get a palindrome (4454666664544).

The spelling of 1331333333213 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred thirteen".