213032001 has 32 divisors (see below), whose sum is σ = 350961408. Its totient is φ = 111928320.

The previous prime is 213031991. The next prime is 213032089. The reversal of 213032001 is 100230312.

It is a happy number.

It is not a de Polignac number, because 213032001 - 2¹³ = 213023809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213032101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75325 + ... + 78101.

It is an arithmetic number, because the mean of its divisors is an integer number (10967544).

Almost surely, 2^213032001 is an apocalyptic number.

213032001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213032001 is a deficient number, since it is larger than the sum of its proper divisors (137929407).

213032001 is a wasteful number, since it uses less digits than its factorization.

213032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213032001 is about 14595.6158143464. The cubic root of 213032001 is about 597.2391686127.

Adding to 213032001 its reverse (100230312), we get a palindrome (313262313).

The spelling of 213032001 in words is "two hundred thirteen million, thirty-two thousand, one".