213533335312 has 80 divisors (see below), whose sum is σ = 453880931904. Its totient is φ = 96513984000.

The previous prime is 213533335303. The next prime is 213533335439.

213533335312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213533335312² (a number of 23 digits) contains 22 as substring.

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, 23483887 + ... + 23492977.

Almost surely, 2^213533335312 is an apocalyptic number.

213533335312 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 213533335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226940465952).

213533335312 is an abundant number, since it is smaller than the sum of its proper divisors (240347596592).

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

213533335312 is a wasteful number, since it uses less digits than its factorization.

213533335312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9848 (or 9842 counting only the distinct ones).

The product of its digits is 72900, while the sum is 34.

It can be divided in two parts, 213533 and 335312, that added together give a palindrome (548845).

The spelling of 213533335312 in words is "two hundred thirteen billion, five hundred thirty-three million, three hundred thirty-five thousand, three hundred twelve".