213205520128 has 72 divisors (see below), whose sum is σ = 452484204480. Its totient is φ = 99915202560.

The previous prime is 213205520093. The next prime is 213205520131. The reversal of 213205520128 is 821025502312.

It is a super-3 number, since 3×213205520128³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213205520128.

It is a congruent number.

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, 947193 + ... + 1150471.

It is an arithmetic number, because the mean of its divisors is an integer number (6284502840).

Almost surely, 2^213205520128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213205520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226242102240).

213205520128 is an abundant number, since it is smaller than the sum of its proper divisors (239278684352).

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

213205520128 is a wasteful number, since it uses less digits than its factorization.

213205520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203553 (or 203539 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 213205520128 in words is "two hundred thirteen billion, two hundred five million, five hundred twenty thousand, one hundred twenty-eight".