3121321131133 has 2 divisors, whose sum is σ = 3121321131134. Its totient is φ = 3121321131132.

The previous prime is 3121321131101. The next prime is 3121321131179. The reversal of 3121321131133 is 3311311231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2939314800249 + 182006330884 = 1714443^2 + 426622^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121321131133 - 2⁵ = 3121321131101 is a prime.

It is a super-3 number, since 3×3121321131133³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3121321131098 and 3121321131107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121321131433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560660565566 + 1560660565567.

It is an arithmetic number, because the mean of its divisors is an integer number (1560660565567).

Almost surely, 2^{3121321131133} is an apocalyptic number.

It is an amenable number.

3121321131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121321131133 is an equidigital number, since it uses as much as digits as its factorization.

3121321131133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 25.

Adding to 3121321131133 its reverse (3311311231213), we get a palindrome (6432632362346).

The spelling of 3121321131133 in words is "three trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-three".