213400410500 has 24 divisors (see below), whose sum is σ = 466066497624. Its totient is φ = 85360164000.

The previous prime is 213400410481. The next prime is 213400410521. The reversal of 213400410500 is 5014004312.

213400410500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2043220804 + 211357189696 = 45202^2 + 459736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213399911 + ... + 213400910.

It is an arithmetic number, because the mean of its divisors is an integer number (19419437401).

Almost surely, 2^213400410500 is an apocalyptic number.

213400410500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400410500 is an abundant number, since it is smaller than the sum of its proper divisors (252666087124).

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

213400410500 is a wasteful number, since it uses less digits than its factorization.

213400410500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426800840 (or 426800828 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 213400410500 its reverse (5014004312), we get a palindrome (218414414812).

The spelling of 213400410500 in words is "two hundred thirteen billion, four hundred million, four hundred ten thousand, five hundred".