413004303430101 has 48 divisors (see below), whose sum is σ = 625709710080000. Its totient is φ = 262007135618976.

The previous prime is 413004303430067. The next prime is 413004303430109. The reversal of 413004303430101 is 101034303400314.

413004303430101 is a `hidden beast` number, since 4 + 1 + 300 + 4 + 3 + 0 + 343 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 413004303430101 - 2¹⁰ = 413004303429077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004303430109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314182200 + ... + 315493998.

It is an arithmetic number, because the mean of its divisors is an integer number (13035618960000).

Almost surely, 2^{413004303430101} is an apocalyptic number.

It is an amenable number.

413004303430101 is a deficient number, since it is larger than the sum of its proper divisors (212705406649899).

413004303430101 is a wasteful number, since it uses less digits than its factorization.

413004303430101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319670 (or 1319667 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 413004303430101 its reverse (101034303400314), we get a palindrome (514038606830415).

The spelling of 413004303430101 in words is "four hundred thirteen trillion, four billion, three hundred three million, four hundred thirty thousand, one hundred one".