213313020343000 has 128 divisors (see below), whose sum is σ = 501154118150400. Its totient is φ = 84983697408000.

The previous prime is 213313020342923. The next prime is 213313020343009. The reversal of 213313020343000 is 343020313312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313020343009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261762177 + ... + 262575823.

It is an arithmetic number, because the mean of its divisors is an integer number (3915266548050).

Almost surely, 2^{213313020343000} is an apocalyptic number.

213313020343000 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 213313020343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250577059075200).

213313020343000 is an abundant number, since it is smaller than the sum of its proper divisors (287841097807400).

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

213313020343000 is a wasteful number, since it uses less digits than its factorization.

213313020343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814718 (or 814704 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 213313020343000 its reverse (343020313312), we get a palindrome (213656040656312).

The spelling of 213313020343000 in words is "two hundred thirteen trillion, three hundred thirteen billion, twenty million, three hundred forty-three thousand".