213413401 has 2 divisors, whose sum is σ = 213413402. Its totient is φ = 213413400.

The previous prime is 213413363. The next prime is 213413419. The reversal of 213413401 is 104314312.

213413401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182277001 + 31136400 = 13501^2 + 5580^2 .

It is a cyclic number.

It is not a de Polignac number, because 213413401 - 2⁷ = 213413273 is a prime.

It is not a weakly prime, because it can be changed into another prime (213413471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106706700 + 106706701.

It is an arithmetic number, because the mean of its divisors is an integer number (106706701).

Almost surely, 2^213413401 is an apocalyptic number.

It is an amenable number.

213413401 is a deficient number, since it is larger than the sum of its proper divisors (1).

213413401 is an equidigital number, since it uses as much as digits as its factorization.

213413401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213413401 is about 14608.6755388707. The cubic root of 213413401 is about 597.5953767786.

Adding to 213413401 its reverse (104314312), we get a palindrome (317727713).

It can be divided in two parts, 21341 and 3401, that added together give a palindrome (24742).

The spelling of 213413401 in words is "two hundred thirteen million, four hundred thirteen thousand, four hundred one".