213364102500 has 180 divisors, whose sum is σ = 690396486780. Its totient is φ = 55509120000.

The previous prime is 213364102487. The next prime is 213364102513. The reversal of 213364102500 is 5201463312.

213364102500 is a `hidden beast` number, since 2 + 13 + 3 + 641 + 0 + 2 + 5 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213364102487) and next prime (213364102513).

It can be written as a sum of positive squares in 10 ways, for example, as 213244462656 + 119639844 = 461784^2 + 10938^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 806856 + ... + 1038144.

Almost surely, 2^213364102500 is an apocalyptic number.

213364102500 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 213364102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345198243390).

213364102500 is an abundant number, since it is smaller than the sum of its proper divisors (477032384280).

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

213364102500 is a wasteful number, since it uses less digits than its factorization.

213364102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231360 (or 231340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 213364102500 its reverse (5201463312), we get a palindrome (218565565812).

The spelling of 213364102500 in words is "two hundred thirteen billion, three hundred sixty-four million, one hundred two thousand, five hundred".