1033120419361 has 2 divisors, whose sum is σ = 1033120419362. Its totient is φ = 1033120419360.

The previous prime is 1033120419349. The next prime is 1033120419367. The reversal of 1033120419361 is 1639140213301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1023271841761 + 9848577600 = 1011569^2 + 99240^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033120419361 - 2⁵ = 1033120419329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1033120419367) 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, 516560209680 + 516560209681.

It is an arithmetic number, because the mean of its divisors is an integer number (516560209681).

Almost surely, 2^{1033120419361} is an apocalyptic number.

It is an amenable number.

1033120419361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033120419361 is an equidigital number, since it uses as much as digits as its factorization.

1033120419361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 1033120419361 in words is "one trillion, thirty-three billion, one hundred twenty million, four hundred nineteen thousand, three hundred sixty-one".