3223442400137 has 2 divisors, whose sum is σ = 3223442400138. Its totient is φ = 3223442400136.

The previous prime is 3223442400089. The next prime is 3223442400181. The reversal of 3223442400137 is 7310042443223.

3223442400137 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., 2524987738441 + 698454661696 = 1589021^2 + 835736^2 .

It is a cyclic number.

It is not a de Polignac number, because 3223442400137 - 2¹⁶ = 3223442334601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3223442400097 and 3223442400106.

It is not a weakly prime, because it can be changed into another prime (3223442400197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1611721200068 + 1611721200069.

It is an arithmetic number, because the mean of its divisors is an integer number (1611721200069).

Almost surely, 2^{3223442400137} is an apocalyptic number.

It is an amenable number.

3223442400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3223442400137 is an equidigital number, since it uses as much as digits as its factorization.

3223442400137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 3223442400137 in words is "three trillion, two hundred twenty-three billion, four hundred forty-two million, four hundred thousand, one hundred thirty-seven".