3133120213313 has 4 divisors (see below), whose sum is σ = 3133318414980. Its totient is φ = 3132922011648.

The previous prime is 3133120213297. The next prime is 3133120213331.

3133120213313 is nontrivially palindromic in base 10.

3133120213313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 682618006849 + 2450502206464 = 826207^2 + 1565408^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133120213313 - 2⁴ = 3133120213297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3133120213393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99077120 + ... + 99108737.

It is an arithmetic number, because the mean of its divisors is an integer number (783329603745).

Almost surely, 2^{3133120213313} is an apocalyptic number.

It is an amenable number.

3133120213313 is a deficient number, since it is larger than the sum of its proper divisors (198201667).

3133120213313 is a wasteful number, since it uses less digits than its factorization.

3133120213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198201666.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 3133120 and 213313, that added together give a palindrome (3346433).

The spelling of 3133120213313 in words is "three trillion, one hundred thirty-three billion, one hundred twenty million, two hundred thirteen thousand, three hundred thirteen".