1353613203013 has 2 divisors, whose sum is σ = 1353613203014. Its totient is φ = 1353613203012.

The previous prime is 1353613202987. The next prime is 1353613203017. The reversal of 1353613203013 is 3103023163531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986253568609 + 367359634404 = 993103^2 + 606102^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353613203013 - 2³⁷ = 1216174249541 is a prime.

It is a super-2 number, since 2×1353613203013² (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 (1353613203017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676806601506 + 676806601507.

It is an arithmetic number, because the mean of its divisors is an integer number (676806601507).

Almost surely, 2^{1353613203013} is an apocalyptic number.

It is an amenable number.

1353613203013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353613203013 is an equidigital number, since it uses as much as digits as its factorization.

1353613203013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 1353613203013 its reverse (3103023163531), we get a palindrome (4456636366544).

The spelling of 1353613203013 in words is "one trillion, three hundred fifty-three billion, six hundred thirteen million, two hundred three thousand, thirteen".