413314440113 has 2 divisors, whose sum is σ = 413314440114. Its totient is φ = 413314440112.

The previous prime is 413314440107. The next prime is 413314440131. The reversal of 413314440113 is 311044413314.

Together with next prime (413314440131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314779346704 + 98535093409 = 561052^2 + 313903^2 .

It is a cyclic number.

It is not a de Polignac number, because 413314440113 - 2¹⁴ = 413314423729 is a prime.

It is not a weakly prime, because it can be changed into another prime (413314440103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206657220056 + 206657220057.

It is an arithmetic number, because the mean of its divisors is an integer number (206657220057).

Almost surely, 2^413314440113 is an apocalyptic number.

It is an amenable number.

413314440113 is a deficient number, since it is larger than the sum of its proper divisors (1).

413314440113 is an equidigital number, since it uses as much as digits as its factorization.

413314440113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 413314440113 its reverse (311044413314), we get a palindrome (724358853427).

The spelling of 413314440113 in words is "four hundred thirteen billion, three hundred fourteen million, four hundred forty thousand, one hundred thirteen".