213132032013 has 8 divisors (see below), whose sum is σ = 284208192000. Its totient is φ = 142071946688.

The previous prime is 213132031999. The next prime is 213132032027. The reversal of 213132032013 is 310230231312.

213132032013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213132031999) and next prime (213132032027).

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 213132032013 - 2⁶ = 213132031949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132032033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3987693 + ... + 4040786.

It is an arithmetic number, because the mean of its divisors is an integer number (35526024000).

Almost surely, 2^213132032013 is an apocalyptic number.

It is an amenable number.

213132032013 is a deficient number, since it is larger than the sum of its proper divisors (71076159987).

213132032013 is an equidigital number, since it uses as much as digits as its factorization.

213132032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037331.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213132032013 its reverse (310230231312), we get a palindrome (523362263325).

The spelling of 213132032013 in words is "two hundred thirteen billion, one hundred thirty-two million, thirty-two thousand, thirteen".