22333133013409 has 2 divisors, whose sum is σ = 22333133013410. Its totient is φ = 22333133013408.

The previous prime is 22333133013353. The next prime is 22333133013431. The reversal of 22333133013409 is 90431033133322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20074208180625 + 2258924832784 = 4480425^2 + 1502972^2 .

It is a cyclic number.

It is not a de Polignac number, because 22333133013409 - 2²³ = 22333124624801 is a prime.

It is not a weakly prime, because it can be changed into another prime (22333133013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11166566506704 + 11166566506705.

It is an arithmetic number, because the mean of its divisors is an integer number (11166566506705).

Almost surely, 2^{22333133013409} is an apocalyptic number.

It is an amenable number.

22333133013409 is a deficient number, since it is larger than the sum of its proper divisors (1).

22333133013409 is an equidigital number, since it uses as much as digits as its factorization.

22333133013409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 37.

The spelling of 22333133013409 in words is "twenty-two trillion, three hundred thirty-three billion, one hundred thirty-three million, thirteen thousand, four hundred nine".