212133311010 has 96 divisors (see below), whose sum is σ = 566622034992. Its totient is φ = 55023598080.

The previous prime is 212133310999. The next prime is 212133311017. The reversal of 212133311010 is 10113331212.

212133311010 is a `hidden beast` number, since 21 + 213 + 331 + 101 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 136863742401 + 75269568609 = 369951^2 + 274353^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212133311017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14501500 + ... + 14516120.

Almost surely, 2^212133311010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212133311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283311017496).

212133311010 is an abundant number, since it is smaller than the sum of its proper divisors (354488723982).

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

212133311010 is a wasteful number, since it uses less digits than its factorization.

212133311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19028 (or 19025 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212133311010 its reverse (10113331212), we get a palindrome (222246642222).

The spelling of 212133311010 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred eleven thousand, ten".