213142401 has 16 divisors (see below), whose sum is σ = 317598720. Its totient is φ = 141270480.

The previous prime is 213142393. The next prime is 213142409. The reversal of 213142401 is 104241312.

It is an interprime number because it is at equal distance from previous prime (213142393) and next prime (213142409).

It is not a de Polignac number, because 213142401 - 2³ = 213142393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213142409) 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, 18145 + ... + 27486.

It is an arithmetic number, because the mean of its divisors is an integer number (19849920).

Almost surely, 2^213142401 is an apocalyptic number.

It is an amenable number.

213142401 is a deficient number, since it is larger than the sum of its proper divisors (104456319).

213142401 is a wasteful number, since it uses less digits than its factorization.

213142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45813 (or 45807 counting only the distinct ones).

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

The square root of 213142401 is about 14599.3972820798. The cubic root of 213142401 is about 597.3423202789.

Adding to 213142401 its reverse (104241312), we get a palindrome (317383713).

The spelling of 213142401 in words is "two hundred thirteen million, one hundred forty-two thousand, four hundred one".