213420100401 has 32 divisors (see below), whose sum is σ = 338091321600. Its totient is φ = 132584774400.

The previous prime is 213420100393. The next prime is 213420100409. The reversal of 213420100401 is 104001024312.

213420100401 is a `hidden beast` number, since 213 + 42 + 0 + 10 + 0 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (213420100393) and next prime (213420100409).

It is not a de Polignac number, because 213420100401 - 2³ = 213420100393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213420100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255461 + ... + 2348178.

It is an arithmetic number, because the mean of its divisors is an integer number (10565353800).

Almost surely, 2^213420100401 is an apocalyptic number.

It is an amenable number.

213420100401 is a deficient number, since it is larger than the sum of its proper divisors (124671221199).

213420100401 is a wasteful number, since it uses less digits than its factorization.

213420100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603766 (or 4603760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213420100401 its reverse (104001024312), we get a palindrome (317421124713).

The spelling of 213420100401 in words is "two hundred thirteen billion, four hundred twenty million, one hundred thousand, four hundred one".