213310233310300 has 288 divisors, whose sum is σ = 536649688999424. Its totient is φ = 72088278912000.

The previous prime is 213310233310271. The next prime is 213310233310301. The reversal of 213310233310300 is 3013332013312.

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 (213310233310301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7703219455 + ... + 7703247145.

Almost surely, 2^{213310233310300} is an apocalyptic number.

213310233310300 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 213310233310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268324844499712).

213310233310300 is an abundant number, since it is smaller than the sum of its proper divisors (323339455689124).

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

213310233310300 is a wasteful number, since it uses less digits than its factorization.

213310233310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28429 (or 28422 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 213310233310300 its reverse (3013332013312), we get a palindrome (216323565323612).

The spelling of 213310233310300 in words is "two hundred thirteen trillion, three hundred ten billion, two hundred thirty-three million, three hundred ten thousand, three hundred".