3331122223129 has 2 divisors, whose sum is σ = 3331122223130. Its totient is φ = 3331122223128.

The previous prime is 3331122223109. The next prime is 3331122223147. The reversal of 3331122223129 is 9213222211333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2611543264729 + 719578958400 = 1616027^2 + 848280^2 .

It is a cyclic number.

It is not a de Polignac number, because 3331122223129 - 2⁷ = 3331122223001 is a prime.

It is a super-4 number, since 4×3331122223129⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3331122223094 and 3331122223103.

It is not a weakly prime, because it can be changed into another prime (3331122223109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665561111564 + 1665561111565.

It is an arithmetic number, because the mean of its divisors is an integer number (1665561111565).

Almost surely, 2^{3331122223129} is an apocalyptic number.

It is an amenable number.

3331122223129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331122223129 is an equidigital number, since it uses as much as digits as its factorization.

3331122223129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 34.

The spelling of 3331122223129 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-nine".