3133120801 has 2 divisors, whose sum is σ = 3133120802. Its totient is φ = 3133120800.

The previous prime is 3133120751. The next prime is 3133120813. The reversal of 3133120801 is 1080213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2696101776 + 437019025 = 51924^2 + 20905^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133120801 - 2¹⁷ = 3132989729 is a prime.

It is a super-3 number, since 3×3133120801³ (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3133160801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566560400 + 1566560401.

It is an arithmetic number, because the mean of its divisors is an integer number (1566560401).

Almost surely, 2^3133120801 is an apocalyptic number.

It is an amenable number.

3133120801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133120801 is an equidigital number, since it uses as much as digits as its factorization.

3133120801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3133120801 is about 55974.2869628546. The cubic root of 3133120801 is about 1463.2741932203.

The spelling of 3133120801 in words is "three billion, one hundred thirty-three million, one hundred twenty thousand, eight hundred one".