213123001 has 48 divisors (see below), whose sum is σ = 281534400. Its totient is φ = 159691392.

The previous prime is 213122971. The next prime is 213123041. The reversal of 213123001 is 100321312.

213123001 = 28² + 29² + ... + 861².

It is not a de Polignac number, because 213123001 - 2⁷ = 213122873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (213123041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533190 + ... + 1533328.

It is an arithmetic number, because the mean of its divisors is an integer number (5865300).

Almost surely, 2^213123001 is an apocalyptic number.

It is an amenable number.

213123001 is a deficient number, since it is larger than the sum of its proper divisors (68411399).

213123001 is a wasteful number, since it uses less digits than its factorization.

213123001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213123001 is about 14598.7328559708. The cubic root of 213123001 is about 597.3241965698.

Adding to 213123001 its reverse (100321312), we get a palindrome (313444313).

The spelling of 213123001 in words is "two hundred thirteen million, one hundred twenty-three thousand, one".