1223312100013 has 2 divisors, whose sum is σ = 1223312100014. Its totient is φ = 1223312100012.

The previous prime is 1223312099941. The next prime is 1223312100019. The reversal of 1223312100013 is 3100012133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1192415952484 + 30896147529 = 1091978^2 + 175773^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223312100013 - 2³³ = 1214722165421 is a prime.

It is a super-2 number, since 2×1223312100013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1223312100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611656050006 + 611656050007.

It is an arithmetic number, because the mean of its divisors is an integer number (611656050007).

Almost surely, 2^{1223312100013} is an apocalyptic number.

It is an amenable number.

1223312100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223312100013 is an equidigital number, since it uses as much as digits as its factorization.

1223312100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1223312100013 its reverse (3100012133221), we get a palindrome (4323324233234).

The spelling of 1223312100013 in words is "one trillion, two hundred twenty-three billion, three hundred twelve million, one hundred thousand, thirteen".