413101101314 has 16 divisors (see below), whose sum is σ = 682676531136. Its totient is φ = 185914086000.

The previous prime is 413101101307. The next prime is 413101101317.

413101101314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413101101317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92954822 + ... + 92959265.

It is an arithmetic number, because the mean of its divisors is an integer number (42667283196).

Almost surely, 2^413101101314 is an apocalyptic number.

413101101314 is a deficient number, since it is larger than the sum of its proper divisors (269575429822).

413101101314 is a wasteful number, since it uses less digits than its factorization.

413101101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185914201.

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

It can be divided in two parts, 413101 and 101314, that added together give a palindrome (514415).

The spelling of 413101101314 in words is "four hundred thirteen billion, one hundred one million, one hundred one thousand, three hundred fourteen".