213229312704 has 224 divisors, whose sum is σ = 643725895680. Its totient is φ = 69172070400.

The previous prime is 213229312691. The next prime is 213229312729. The reversal of 213229312704 is 407213922312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30531997 + ... + 30538979.

It is an arithmetic number, because the mean of its divisors is an integer number (2873776320).

Almost surely, 2^213229312704 is an apocalyptic number.

213229312704 is a gapful number since it is divisible by the number (24) 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 213229312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321862947840).

213229312704 is an abundant number, since it is smaller than the sum of its proper divisors (430496582976).

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

213229312704 is a wasteful number, since it uses less digits than its factorization.

213229312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 213229312704 in words is "two hundred thirteen billion, two hundred twenty-nine million, three hundred twelve thousand, seven hundred four".