213434000013 has 64 divisors (see below), whose sum is σ = 326974072320. Its totient is φ = 123568473600.

The previous prime is 213433999991. The next prime is 213434000023. The reversal of 213434000013 is 310000434312.

It is not a de Polignac number, because 213434000013 - 2⁵ = 213433999981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213434000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9235633 + ... + 9258713.

It is an arithmetic number, because the mean of its divisors is an integer number (5108969880).

Almost surely, 2^213434000013 is an apocalyptic number.

213434000013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213434000013 is a deficient number, since it is larger than the sum of its proper divisors (113540072307).

213434000013 is a wasteful number, since it uses less digits than its factorization.

213434000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207 (or 23181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213434000013 its reverse (310000434312), we get a palindrome (523434434325).

The spelling of 213434000013 in words is "two hundred thirteen billion, four hundred thirty-four million, thirteen", and thus it is an aban number.