213330444033312 has 288 divisors, whose sum is σ = 627408959185008. Its totient is φ = 68706313371648.

The previous prime is 213330444033271. The next prime is 213330444033313.

213330444033312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 304 + 4 + 4 + 0 + 33 + 312 = 666.

213330444033312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 167038150856976 + 46292293176336 = 12924324^2 + 6803844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213330444033313) 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, 925987128 + ... + 926217480.

Almost surely, 2^{213330444033312} 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 213330444033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313704479592504).

213330444033312 is an abundant number, since it is smaller than the sum of its proper divisors (414078515151696).

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

213330444033312 is a wasteful number, since it uses less digits than its factorization.

213330444033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231012 (or 231001 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 213330444033312 in words is "two hundred thirteen trillion, three hundred thirty billion, four hundred forty-four million, thirty-three thousand, three hundred twelve".