414301001213 has 8 divisors (see below), whose sum is σ = 458156027136. Its totient is φ = 371477858400.

The previous prime is 414301001203. The next prime is 414301001239. The reversal of 414301001213 is 312100103414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414301001213 - 2¹⁰ = 414301000189 is a prime.

It is a super-3 number, since 3×414301001213³ (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 (414301001203) 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, 257969933 + ... + 257971538.

It is an arithmetic number, because the mean of its divisors is an integer number (57269503392).

Almost surely, 2^414301001213 is an apocalyptic number.

It is an amenable number.

414301001213 is a deficient number, since it is larger than the sum of its proper divisors (43855025923).

414301001213 is a wasteful number, since it uses less digits than its factorization.

414301001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515941555.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 414301001213 its reverse (312100103414), we get a palindrome (726401104627).

The spelling of 414301001213 in words is "four hundred fourteen billion, three hundred one million, one thousand, two hundred thirteen".