3314131401213 has 24 divisors (see below), whose sum is σ = 4799929001400. Its totient is φ = 2203497068544.

The previous prime is 3314131401209. The next prime is 3314131401227. The reversal of 3314131401213 is 3121041314133.

3314131401213 is a `hidden beast` number, since 3 + 3 + 1 + 41 + 3 + 1 + 401 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78892450884 + 3235238950329 = 280878^2 + 1798677^2 .

It is not a de Polignac number, because 3314131401213 - 2² = 3314131401209 is a prime.

It is a super-3 number, since 3×3314131401213³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314131401613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5366893 + ... + 5952461.

It is an arithmetic number, because the mean of its divisors is an integer number (199997041725).

Almost surely, 2^{3314131401213} is an apocalyptic number.

It is an amenable number.

3314131401213 is a deficient number, since it is larger than the sum of its proper divisors (1485797600187).

3314131401213 is a wasteful number, since it uses less digits than its factorization.

3314131401213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587261 (or 587258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3314131401213 its reverse (3121041314133), we get a palindrome (6435172715346).

The spelling of 3314131401213 in words is "three trillion, three hundred fourteen billion, one hundred thirty-one million, four hundred one thousand, two hundred thirteen".