331133332121213 has 8 divisors (see below), whose sum is σ = 335080031378040. Its totient is φ = 327191657309440.

The previous prime is 331133332121161. The next prime is 331133332121219. The reversal of 331133332121213 is 312121233331133.

It can be written as a sum of positive squares in 4 ways, for example, as 3585122607364 + 327548209513849 = 1893442^2 + 18098293^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331133332121213 - 2⁶ = 331133332121149 is a prime.

It is a super-3 number, since 3×331133332121213³ (a number of 45 digits) contains 333 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 331133332121213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331133332121219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255978670 + ... + 1256242287.

It is an arithmetic number, because the mean of its divisors is an integer number (41885003922255).

Almost surely, 2^{331133332121213} is an apocalyptic number.

It is an amenable number.

331133332121213 is a deficient number, since it is larger than the sum of its proper divisors (3946699256827).

331133332121213 is a wasteful number, since it uses less digits than its factorization.

331133332121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512222527.

The product of its digits is 17496, while the sum is 32.

Adding to 331133332121213 its reverse (312121233331133), we get a palindrome (643254565452346).

The spelling of 331133332121213 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred thirteen".