203665131600013 has 2 divisors, whose sum is σ = 203665131600014. Its totient is φ = 203665131600012.

The previous prime is 203665131600011. The next prime is 203665131600019. The reversal of 203665131600013 is 310006131566302.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187529662057609 + 16135469542404 = 13694147^2 + 4016898^2 .

It is a cyclic number.

It is not a de Polignac number, because 203665131600013 - 2¹ = 203665131600011 is a prime.

It is a super-2 number, since 2×203665131600013² (a number of 29 digits) contains 22 as substring.

Together with 203665131600011, 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 (203665131600011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101832565800006 + 101832565800007.

It is an arithmetic number, because the mean of its divisors is an integer number (101832565800007).

Almost surely, 2^{203665131600013} is an apocalyptic number.

It is an amenable number.

203665131600013 is a deficient number, since it is larger than the sum of its proper divisors (1).

203665131600013 is an equidigital number, since it uses as much as digits as its factorization.

203665131600013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 203665131600013 in words is "two hundred three trillion, six hundred sixty-five billion, one hundred thirty-one million, six hundred thousand, thirteen".