213212341431012 has 192 divisors, whose sum is σ = 628554734438400. Its totient is φ = 55098707368320.

The previous prime is 213212341430999. The next prime is 213212341431013. The reversal of 213212341431012 is 210134143212312.

It is not an unprimeable number, because it can be changed into a prime (213212341431013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17185239 + ... + 26865537.

It is an arithmetic number, because the mean of its divisors is an integer number (3273722575200).

Almost surely, 2^{213212341431012} is an apocalyptic number.

213212341431012 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 213212341431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314277367219200).

213212341431012 is an abundant number, since it is smaller than the sum of its proper divisors (415342393007388).

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

213212341431012 is a wasteful number, since it uses less digits than its factorization.

213212341431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680543 (or 9680519 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 213212341431012 its reverse (210134143212312), we get a palindrome (423346484643324).

The spelling of 213212341431012 in words is "two hundred thirteen trillion, two hundred twelve billion, three hundred forty-one million, four hundred thirty-one thousand, twelve".