213001013 has 8 divisors (see below), whose sum is σ = 216528000. Its totient is φ = 209502288.

The previous prime is 213001003. The next prime is 213001049. The reversal of 213001013 is 310100312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213001013 - 2¹⁶ = 212935477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213000985 and 213001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001003) 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 7 ways as a sum of consecutive naturals, for example, 8408 + ... + 22286.

It is an arithmetic number, because the mean of its divisors is an integer number (27066000).

Almost surely, 2^213001013 is an apocalyptic number.

It is an amenable number.

213001013 is a deficient number, since it is larger than the sum of its proper divisors (3526987).

213001013 is a wasteful number, since it uses less digits than its factorization.

213001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14131.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 213001013 is about 14594.5542240933. The cubic root of 213001013 is about 597.2102087307.

Adding to 213001013 its reverse (310100312), we get a palindrome (523101325).

The spelling of 213001013 in words is "two hundred thirteen million, one thousand, thirteen".