3133412040321 has 12 divisors (see below), whose sum is σ = 4792277238372. Its totient is φ = 1966062456576.

The previous prime is 3133412040289. The next prime is 3133412040361. The reversal of 3133412040321 is 1230402143313.

It is a happy number.

3133412040321 is a `hidden beast` number, since 3 + 1 + 334 + 1 + 2 + 0 + 4 + 0 + 321 = 666.

3133412040321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1910863875600 + 1222548164721 = 1382340^2 + 1105689^2 .

It is not a de Polignac number, because 3133412040321 - 2⁵ = 3133412040289 is a prime.

It is a super-2 number, since 2×3133412040321² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3133412040361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10239908476 + ... + 10239908781.

It is an arithmetic number, because the mean of its divisors is an integer number (399356436531).

Almost surely, 2^{3133412040321} is an apocalyptic number.

It is an amenable number.

3133412040321 is a deficient number, since it is larger than the sum of its proper divisors (1658865198051).

3133412040321 is a wasteful number, since it uses less digits than its factorization.

3133412040321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20479817280 (or 20479817277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3133412040321 its reverse (1230402143313), we get a palindrome (4363814183634).

The spelling of 3133412040321 in words is "three trillion, one hundred thirty-three billion, four hundred twelve million, forty thousand, three hundred twenty-one".