1003322002261 has 2 divisors, whose sum is σ = 1003322002262. Its totient is φ = 1003322002260.

The previous prime is 1003322002259. The next prime is 1003322002279. The reversal of 1003322002261 is 1622002233001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 842265062500 + 161056939761 = 917750^2 + 401319^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003322002261 - 2¹ = 1003322002259 is a prime.

It is a super-3 number, since 3×1003322002261³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1003322002259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003322002231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501661001130 + 501661001131.

It is an arithmetic number, because the mean of its divisors is an integer number (501661001131).

Almost surely, 2^{1003322002261} is an apocalyptic number.

It is an amenable number.

1003322002261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003322002261 is an equidigital number, since it uses as much as digits as its factorization.

1003322002261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1003322002261 its reverse (1622002233001), we get a palindrome (2625324235262).

The spelling of 1003322002261 in words is "one trillion, three billion, three hundred twenty-two million, two thousand, two hundred sixty-one".