4133133431333 has 2 divisors, whose sum is σ = 4133133431334. Its totient is φ = 4133133431332.

The previous prime is 4133133431263. The next prime is 4133133431347. The reversal of 4133133431333 is 3331343313314.

4133133431333 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2728202082529 + 1404931348804 = 1651727^2 + 1185298^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133133431333 - 2¹⁸ = 4133133169189 is a prime.

It is a super-2 number, since 2×4133133431333² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4133133431293 and 4133133431302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4133133431353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066566715666 + 2066566715667.

It is an arithmetic number, because the mean of its divisors is an integer number (2066566715667).

Almost surely, 2^{4133133431333} is an apocalyptic number.

It is an amenable number.

4133133431333 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133133431333 is an equidigital number, since it uses as much as digits as its factorization.

4133133431333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 104976, while the sum is 35.

Adding to 4133133431333 its reverse (3331343313314), we get a palindrome (7464476744647).

The spelling of 4133133431333 in words is "four trillion, one hundred thirty-three billion, one hundred thirty-three million, four hundred thirty-one thousand, three hundred thirty-three".