413011000110314 has 32 divisors (see below), whose sum is σ = 639108509646096. Its totient is φ = 200105533071360.

The previous prime is 413011000110301. The next prime is 413011000110367.

413011000110314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 169470537067225 + 243540463043089 = 13018085^2 + 15605783^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104495297 + ... + 108375684.

Almost surely, 2^{413011000110314} is an apocalyptic number.

413011000110314 is a deficient number, since it is larger than the sum of its proper divisors (226097509535782).

413011000110314 is a wasteful number, since it uses less digits than its factorization.

413011000110314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212871290.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 413011000 and 110314, that added together give a palindrome (413121314).

The spelling of 413011000110314 in words is "four hundred thirteen trillion, eleven billion, one hundred ten thousand, three hundred fourteen".