213131144410300 has 144 divisors (see below), whose sum is σ = 494436971508480. Its totient is φ = 79550930511360.

The previous prime is 213131144410259. The next prime is 213131144410309. The reversal of 213131144410300 is 3014441131312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131144410309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78678199 + ... + 81342001.

It is an arithmetic number, because the mean of its divisors is an integer number (3433590079920).

Almost surely, 2^{213131144410300} is an apocalyptic number.

213131144410300 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 213131144410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247218485754240).

213131144410300 is an abundant number, since it is smaller than the sum of its proper divisors (281305827098180).

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

213131144410300 is a wasteful number, since it uses less digits than its factorization.

213131144410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664692 (or 2664685 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 213131144410300 its reverse (3014441131312), we get a palindrome (216145585541612).

The spelling of 213131144410300 in words is "two hundred thirteen trillion, one hundred thirty-one billion, one hundred forty-four million, four hundred ten thousand, three hundred".