213000013301000 has 64 divisors (see below), whose sum is σ = 514498096719360. Its totient is φ = 82451618040000.

The previous prime is 213000013300939. The next prime is 213000013301003. The reversal of 213000013301000 is 103310000312.

It is not an unprimeable number, because it can be changed into a prime (213000013301003) 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 15 ways as a sum of consecutive naturals, for example, 3435453086 + ... + 3435515085.

It is an arithmetic number, because the mean of its divisors is an integer number (8039032761240).

Almost surely, 2^{213000013301000} is an apocalyptic number.

213000013301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000013301000 is an abundant number, since it is smaller than the sum of its proper divisors (301498083418360).

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

213000013301000 is a wasteful number, since it uses less digits than its factorization.

213000013301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870968223 (or 6870968209 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213000013301000 its reverse (103310000312), we get a palindrome (213103323301312).

The spelling of 213000013301000 in words is "two hundred thirteen trillion, thirteen million, three hundred one thousand".