213432320000013 has 32 divisors (see below), whose sum is σ = 287496199372800. Its totient is φ = 140833689425856.

The previous prime is 213432319999967. The next prime is 213432320000017. The reversal of 213432320000013 is 310000023234312.

It is not a de Polignac number, because 213432320000013 - 2⁸ = 213432319999757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213432320000017) 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 31 ways as a sum of consecutive naturals, for example, 2105572870 + ... + 2105674232.

It is an arithmetic number, because the mean of its divisors is an integer number (8984256230400).

Almost surely, 2^{213432320000013} is an apocalyptic number.

It is an amenable number.

213432320000013 is a deficient number, since it is larger than the sum of its proper divisors (74063879372787).

213432320000013 is a wasteful number, since it uses less digits than its factorization.

213432320000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114521.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213432320000013 its reverse (310000023234312), we get a palindrome (523432343234325).

The spelling of 213432320000013 in words is "two hundred thirteen trillion, four hundred thirty-two billion, three hundred twenty million, thirteen", and thus it is an aban number.