213013112000 has 112 divisors (see below), whose sum is σ = 568106247072. Its totient is φ = 78650956800.

The previous prime is 213013111933. The next prime is 213013112009. The reversal of 213013112000 is 211310312.

It is not an unprimeable number, because it can be changed into a prime (213013112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920102 + ... + 1128101.

It is an arithmetic number, because the mean of its divisors is an integer number (5072377206).

Almost surely, 2^213013112000 is an apocalyptic number.

213013112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013112000 is an abundant number, since it is smaller than the sum of its proper divisors (355093135072).

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

213013112000 is a wasteful number, since it uses less digits than its factorization.

213013112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048243 (or 2048223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213013112000 its reverse (211310312), we get a palindrome (213224422312).

The spelling of 213013112000 in words is "two hundred thirteen billion, thirteen million, one hundred twelve thousand".