205431235013 has 2 divisors, whose sum is σ = 205431235014. Its totient is φ = 205431235012.

The previous prime is 205431234979. The next prime is 205431235063. The reversal of 205431235013 is 310532134502.

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., 121590295204 + 83840939809 = 348698^2 + 289553^2 .

It is a cyclic number.

It is not a de Polignac number, because 205431235013 - 2⁶ = 205431234949 is a prime.

It is a super-2 number, since 2×205431235013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205431235063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102715617506 + 102715617507.

It is an arithmetic number, because the mean of its divisors is an integer number (102715617507).

Almost surely, 2^205431235013 is an apocalyptic number.

It is an amenable number.

205431235013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205431235013 is an equidigital number, since it uses as much as digits as its factorization.

205431235013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 205431235013 its reverse (310532134502), we get a palindrome (515963369515).

The spelling of 205431235013 in words is "two hundred five billion, four hundred thirty-one million, two hundred thirty-five thousand, thirteen".