213355553312 has 96 divisors (see below), whose sum is σ = 487767873600. Its totient is φ = 90843033600.

The previous prime is 213355553311. The next prime is 213355553347.

213355553312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (213355553311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416012 + ... + 774452.

It is an arithmetic number, because the mean of its divisors is an integer number (5080915350).

Almost surely, 2^213355553312 is an apocalyptic number.

213355553312 is a gapful number since it is divisible by the number (22) 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 213355553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243883936800).

213355553312 is an abundant number, since it is smaller than the sum of its proper divisors (274412320288).

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

213355553312 is a wasteful number, since it uses less digits than its factorization.

213355553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358570 (or 358562 counting only the distinct ones).

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 213355 and 553312, that added together give a palindrome (766667).

The spelling of 213355553312 in words is "two hundred thirteen billion, three hundred fifty-five million, five hundred fifty-three thousand, three hundred twelve".