213124401 has 24 divisors (see below), whose sum is σ = 353358720. Its totient is φ = 121254336.

The previous prime is 213124369. The next prime is 213124433. The reversal of 213124401 is 104421312.

213124401 is a `hidden beast` number, since 213 + 12 + 440 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213124369) and next prime (213124433).

It is not a de Polignac number, because 213124401 - 2⁵ = 213124369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213123401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7420 + ... + 21938.

It is an arithmetic number, because the mean of its divisors is an integer number (14723280).

Almost surely, 2^213124401 is an apocalyptic number.

213124401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213124401 is a deficient number, since it is larger than the sum of its proper divisors (140234319).

213124401 is a wasteful number, since it uses less digits than its factorization.

213124401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14762 counting only the distinct ones).

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

The square root of 213124401 is about 14598.7808052590. The cubic root of 213124401 is about 597.3255045031.

Adding to 213124401 its reverse (104421312), we get a palindrome (317545713).

The spelling of 213124401 in words is "two hundred thirteen million, one hundred twenty-four thousand, four hundred one".