410200312013 has 2 divisors, whose sum is σ = 410200312014. Its totient is φ = 410200312012.

The previous prime is 410200311967. The next prime is 410200312021. The reversal of 410200312013 is 310213002014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331981087684 + 78219224329 = 576178^2 + 279677^2 .

It is a cyclic number.

It is not a de Polignac number, because 410200312013 - 2⁶ = 410200311949 is a prime.

It is a super-2 number, since 2×410200312013² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 410200311982 and 410200312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (410200312513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205100156006 + 205100156007.

It is an arithmetic number, because the mean of its divisors is an integer number (205100156007).

Almost surely, 2^410200312013 is an apocalyptic number.

It is an amenable number.

410200312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

410200312013 is an equidigital number, since it uses as much as digits as its factorization.

410200312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 410200312013 its reverse (310213002014), we get a palindrome (720413314027).

The spelling of 410200312013 in words is "four hundred ten billion, two hundred million, three hundred twelve thousand, thirteen".