213067113281920 has 128 divisors (see below), whose sum is σ = 509655691656000. Its totient is φ = 85177981206528.

The previous prime is 213067113281909. The next prime is 213067113281927. The reversal of 213067113281920 is 29182311760312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213067113281927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11759310621 + ... + 11759328739.

Almost surely, 2^{213067113281920} is an apocalyptic number.

213067113281920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213067113281920 is an abundant number, since it is smaller than the sum of its proper divisors (296588578374080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213067113281920 is a wasteful number, since it uses less digits than its factorization.

213067113281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27660 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 213067113281920 in words is "two hundred thirteen trillion, sixty-seven billion, one hundred thirteen million, two hundred eighty-one thousand, nine hundred twenty".