213332113213040 has 80 divisors (see below), whose sum is σ = 499938644262816. Its totient is φ = 84655145702400.

The previous prime is 213332113212949. The next prime is 213332113213081. The reversal of 213332113213040 is 40312311233312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 213332113212994 and 213332113213012.

It is a congruent number.

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, 30596174 + ... + 36915986.

Almost surely, 2^{213332113213040} is an apocalyptic number.

213332113213040 is a gapful number since it is divisible by the number (20) 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 213332113213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249969322131408).

213332113213040 is an abundant number, since it is smaller than the sum of its proper divisors (286606531049776).

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

213332113213040 is a wasteful number, since it uses less digits than its factorization.

213332113213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323178 (or 6323172 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 213332113213040 its reverse (40312311233312), we get a palindrome (253644424446352).

The spelling of 213332113213040 in words is "two hundred thirteen trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred thirteen thousand, forty".