213001101 has 12 divisors (see below), whose sum is σ = 308661600. Its totient is φ = 141542280.

The previous prime is 213001073. The next prime is 213001121. The reversal of 213001101 is 101100312.

It is not a de Polignac number, because 213001101 - 2⁵ = 213001069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001121) 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 11 ways as a sum of consecutive naturals, for example, 35251 + ... + 40848.

It is an arithmetic number, because the mean of its divisors is an integer number (25721800).

Almost surely, 2^213001101 is an apocalyptic number.

It is an amenable number.

213001101 is a deficient number, since it is larger than the sum of its proper divisors (95660499).

213001101 is a wasteful number, since it uses less digits than its factorization.

213001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76416 (or 76413 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 213001101 is about 14594.5572389162. The cubic root of 213001101 is about 597.2102909752.

Adding to 213001101 its reverse (101100312), we get a palindrome (314101413).

The spelling of 213001101 in words is "two hundred thirteen million, one thousand, one hundred one".