10133133323333 has 2 divisors, whose sum is σ = 10133133323334. Its totient is φ = 10133133323332.

The previous prime is 10133133323317. The next prime is 10133133323459. The reversal of 10133133323333 is 33332333133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5272268084164 + 4860865239169 = 2296142^2 + 2204737^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133133323333 - 2⁴ = 10133133323317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10133133323333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133133313333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066566661666 + 5066566661667.

It is an arithmetic number, because the mean of its divisors is an integer number (5066566661667).

Almost surely, 2^{10133133323333} is an apocalyptic number.

It is an amenable number.

10133133323333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133133323333 is an equidigital number, since it uses as much as digits as its factorization.

10133133323333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 32.

Adding to 10133133323333 its reverse (33332333133101), we get a palindrome (43465466456434).

The spelling of 10133133323333 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-three thousand, three hundred thirty-three".