20121313313033 has 2 divisors, whose sum is σ = 20121313313034. Its totient is φ = 20121313313032.

The previous prime is 20121313313027. The next prime is 20121313313051. The reversal of 20121313313033 is 33031331312102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10773447337849 + 9347865975184 = 3282293^2 + 3057428^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121313313033 - 2¹⁴ = 20121313296649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121313312993 and 20121313313011.

It is not a weakly prime, because it can be changed into another prime (20121313313083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060656656516 + 10060656656517.

It is an arithmetic number, because the mean of its divisors is an integer number (10060656656517).

Almost surely, 2^{20121313313033} is an apocalyptic number.

It is an amenable number.

20121313313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121313313033 is an equidigital number, since it uses as much as digits as its factorization.

20121313313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 20121313313033 its reverse (33031331312102), we get a palindrome (53152644625135).

The spelling of 20121313313033 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, thirty-three".