213532420013 has 32 divisors (see below), whose sum is σ = 260581224960. Its totient is φ = 172648053760.

The previous prime is 213532420001. The next prime is 213532420033. The reversal of 213532420013 is 310024235312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 213532420013 - 2²⁰ = 213531371437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213532420033) 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, 164006 + ... + 673767.

It is an arithmetic number, because the mean of its divisors is an integer number (8143163280).

Almost surely, 2^213532420013 is an apocalyptic number.

It is an amenable number.

213532420013 is a deficient number, since it is larger than the sum of its proper divisors (47048804947).

213532420013 is a wasteful number, since it uses less digits than its factorization.

213532420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837877.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 213532420013 its reverse (310024235312), we get a palindrome (523556655325).

The spelling of 213532420013 in words is "two hundred thirteen billion, five hundred thirty-two million, four hundred twenty thousand, thirteen".