10220144001337 has 2 divisors, whose sum is σ = 10220144001338. Its totient is φ = 10220144001336.

The previous prime is 10220144001307. The next prime is 10220144001443. The reversal of 10220144001337 is 73310044102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5895091736361 + 4325052264976 = 2427981^2 + 2079676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220144001337 - 2¹⁵ = 10220143968569 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220144001307) 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, 5110072000668 + 5110072000669.

It is an arithmetic number, because the mean of its divisors is an integer number (5110072000669).

Almost surely, 2^{10220144001337} is an apocalyptic number.

It is an amenable number.

10220144001337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220144001337 is an equidigital number, since it uses as much as digits as its factorization.

10220144001337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 10220144001337 its reverse (73310044102201), we get a palindrome (83530188103538).

The spelling of 10220144001337 in words is "ten trillion, two hundred twenty billion, one hundred forty-four million, one thousand, three hundred thirty-seven".