413120121021314 has 96 divisors (see below), whose sum is σ = 747047024700480. Its totient is φ = 170764111913472.

The previous prime is 413120121021229. The next prime is 413120121021367.

It is a happy number.

413120121021314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62520977 + ... + 68812155.

It is an arithmetic number, because the mean of its divisors is an integer number (7781739840630).

Almost surely, 2^{413120121021314} is an apocalyptic number.

413120121021314 is a deficient number, since it is larger than the sum of its proper divisors (333926903679166).

413120121021314 is a wasteful number, since it uses less digits than its factorization.

413120121021314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291472 (or 6291465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 413120121021314 in words is "four hundred thirteen trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, three hundred fourteen".