10033312011361 has 2 divisors, whose sum is σ = 10033312011362. Its totient is φ = 10033312011360.

The previous prime is 10033312011353. The next prime is 10033312011421. The reversal of 10033312011361 is 16311021333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6558234419025 + 3475077592336 = 2560905^2 + 1864156^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033312011361 - 2³ = 10033312011353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033312011311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016656005680 + 5016656005681.

It is an arithmetic number, because the mean of its divisors is an integer number (5016656005681).

Almost surely, 2^{10033312011361} is an apocalyptic number.

It is an amenable number.

10033312011361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033312011361 is an equidigital number, since it uses as much as digits as its factorization.

10033312011361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10033312011361 its reverse (16311021333001), we get a palindrome (26344333344362).

The spelling of 10033312011361 in words is "ten trillion, thirty-three billion, three hundred twelve million, eleven thousand, three hundred sixty-one".