213042401 has 24 divisors (see below), whose sum is σ = 254006592. Its totient is φ = 177487200.

The previous prime is 213042371. The next prime is 213042409. The reversal of 213042401 is 104240312.

It is not a de Polignac number, because 213042401 - 2²² = 208848097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213042401.

It is not an unprimeable number, because it can be changed into a prime (213042409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262286 + ... + 263096.

It is an arithmetic number, because the mean of its divisors is an integer number (10583608).

Almost surely, 2^213042401 is an apocalyptic number.

It is an amenable number.

213042401 is a deficient number, since it is larger than the sum of its proper divisors (40964191).

213042401 is a wasteful number, since it uses less digits than its factorization.

213042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 213042401 is about 14595.9720813655. The cubic root of 213042401 is about 597.2488873188.

Adding to 213042401 its reverse (104240312), we get a palindrome (317282713).

The spelling of 213042401 in words is "two hundred thirteen million, forty-two thousand, four hundred one".