213315102000 has 960 divisors, whose sum is σ = 1000415969280. Its totient is φ = 40912128000.

The previous prime is 213315101981. The next prime is 213315102001. The reversal of 213315102000 is 201513312.

213315102000 is a `hidden beast` number, since 2 + 133 + 1 + 510 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213315102001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18012081 + ... + 18023919.

It is an arithmetic number, because the mean of its divisors is an integer number (1042099968).

Almost surely, 2^213315102000 is an apocalyptic number.

213315102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213315102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500207984640).

213315102000 is an abundant number, since it is smaller than the sum of its proper divisors (787100867280).

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

213315102000 is a wasteful number, since it uses less digits than its factorization.

213315102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 213315102000 its reverse (201513312), we get a palindrome (213516615312).

The spelling of 213315102000 in words is "two hundred thirteen billion, three hundred fifteen million, one hundred two thousand".