213034141345500 has 144 divisors (see below), whose sum is σ = 672148044824256. Its totient is φ = 56800960636800.

The previous prime is 213034141345457. The next prime is 213034141345537. The reversal of 213034141345500 is 5543141430312.

213034141345500 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 4 + 14 + 134 + 5 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28033774 + ... + 34813226.

It is an arithmetic number, because the mean of its divisors is an integer number (4667694755724).

Almost surely, 2^{213034141345500} is an apocalyptic number.

213034141345500 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 213034141345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336074022412128).

213034141345500 is an abundant number, since it is smaller than the sum of its proper divisors (459113903478756).

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

213034141345500 is a wasteful number, since it uses less digits than its factorization.

213034141345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786461 (or 6786446 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 213034141345500 its reverse (5543141430312), we get a palindrome (218577282775812).

The spelling of 213034141345500 in words is "two hundred thirteen trillion, thirty-four billion, one hundred forty-one million, three hundred forty-five thousand, five hundred".