213340431020112 has 480 divisors, whose sum is σ = 675041237095680. Its totient is φ = 62333263872000.

The previous prime is 213340431020047. The next prime is 213340431020113. The reversal of 213340431020112 is 211020134043312.

213340431020112 is a `hidden beast` number, since 2 + 1 + 3 + 340 + 4 + 310 + 2 + 0 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213340431020113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13970291037 + ... + 13970306307.

It is an arithmetic number, because the mean of its divisors is an integer number (1406335910616).

Almost surely, 2^{213340431020112} is an apocalyptic number.

213340431020112 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 213340431020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337520618547840).

213340431020112 is an abundant number, since it is smaller than the sum of its proper divisors (461700806075568).

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

213340431020112 is a wasteful number, since it uses less digits than its factorization.

213340431020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843 (or 17834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213340431020112 its reverse (211020134043312), we get a palindrome (424360565063424).

The spelling of 213340431020112 in words is "two hundred thirteen trillion, three hundred forty billion, four hundred thirty-one million, twenty thousand, one hundred twelve".