213434131524200 has 48 divisors (see below), whose sum is σ = 503640838747680. Its totient is φ = 84099418983360.

The previous prime is 213434131524199. The next prime is 213434131524259. The reversal of 213434131524200 is 2425131434312.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7963946732 + ... + 7963973531.

It is an arithmetic number, because the mean of its divisors is an integer number (10492517473910).

Almost surely, 2^{213434131524200} is an apocalyptic number.

213434131524200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213434131524200 is an abundant number, since it is smaller than the sum of its proper divisors (290206707223480).

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

213434131524200 is a wasteful number, since it uses less digits than its factorization.

213434131524200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15927920346 (or 15927920337 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 213434131524200 its reverse (2425131434312), we get a palindrome (215859262958512).

The spelling of 213434131524200 in words is "two hundred thirteen trillion, four hundred thirty-four billion, one hundred thirty-one million, five hundred twenty-four thousand, two hundred".