213532055120 has 80 divisors (see below), whose sum is σ = 501652602000. Its totient is φ = 84521816064.

The previous prime is 213532055101. The next prime is 213532055167. The reversal of 213532055120 is 21550235312.

It can be written as a sum of positive squares in 8 ways, for example, as 36250636816 + 177281418304 = 190396^2 + 421048^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×213532055120³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7039346 + ... + 7069614.

It is an arithmetic number, because the mean of its divisors is an integer number (6270657525).

Almost surely, 2^213532055120 is an apocalyptic number.

213532055120 is a gapful number since it is divisible by the number (20) 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 213532055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250826301000).

213532055120 is an abundant number, since it is smaller than the sum of its proper divisors (288120546880).

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

213532055120 is a wasteful number, since it uses less digits than its factorization.

213532055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 31194 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 213532055120 in words is "two hundred thirteen billion, five hundred thirty-two million, fifty-five thousand, one hundred twenty".