414300133213 has 16 divisors (see below), whose sum is σ = 418646785536. Its totient is φ = 409981501440.

The previous prime is 414300133199. The next prime is 414300133229. The reversal of 414300133213 is 312331003414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414300133213 is a prime.

It is a super-3 number, since 3×414300133213³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414300133913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34061853 + ... + 34074013.

It is an arithmetic number, because the mean of its divisors is an integer number (26165424096).

Almost surely, 2^414300133213 is an apocalyptic number.

It is an amenable number.

414300133213 is a deficient number, since it is larger than the sum of its proper divisors (4346652323).

414300133213 is a wasteful number, since it uses less digits than its factorization.

414300133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 414300133213 its reverse (312331003414), we get a palindrome (726631136627).

The spelling of 414300133213 in words is "four hundred fourteen billion, three hundred million, one hundred thirty-three thousand, two hundred thirteen".