413130031314 has 128 divisors (see below), whose sum is σ = 1139368108032. Its totient is φ = 96375018240.

The previous prime is 413130031297. The next prime is 413130031421.

413130031314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707322 + ... + 1151765.

It is an arithmetic number, because the mean of its divisors is an integer number (8901313344).

Almost surely, 2^413130031314 is an apocalyptic number.

413130031314 is an abundant number, since it is smaller than the sum of its proper divisors (726238076718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413130031314 is a wasteful number, since it uses less digits than its factorization.

413130031314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859160.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 4131300 and 31314, that added together give a palindrome (4162614).

The spelling of 413130031314 in words is "four hundred thirteen billion, one hundred thirty million, thirty-one thousand, three hundred fourteen".