213340431014200 has 48 divisors (see below), whose sum is σ = 566876002412880. Its totient is φ = 73145290632960.

The previous prime is 213340431014093. The next prime is 213340431014201. The reversal of 213340431014200 is 2410134043312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213340431014201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76193009677 + ... + 76193012476.

It is an arithmetic number, because the mean of its divisors is an integer number (11809916716935).

Almost surely, 2^{213340431014200} is an apocalyptic number.

213340431014200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213340431014200 is an abundant number, since it is smaller than the sum of its proper divisors (353535571398680).

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

213340431014200 is a wasteful number, since it uses less digits than its factorization.

213340431014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152386022176 (or 152386022167 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213340431014200 its reverse (2410134043312), we get a palindrome (215750565057512).

The spelling of 213340431014200 in words is "two hundred thirteen trillion, three hundred forty billion, four hundred thirty-one million, fourteen thousand, two hundred".