213535123042000 has 320 divisors, whose sum is σ = 531287857900800. Its totient is φ = 82962566400000.

The previous prime is 213535123041991. The next prime is 213535123042061. The reversal of 213535123042000 is 240321535312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14095650426 + ... + 14095665574.

It is an arithmetic number, because the mean of its divisors is an integer number (1660274555940).

Almost surely, 2^{213535123042000} is an apocalyptic number.

213535123042000 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 213535123042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265643928950400).

213535123042000 is an abundant number, since it is smaller than the sum of its proper divisors (317752734858800).

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

213535123042000 is a wasteful number, since it uses less digits than its factorization.

213535123042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16119 (or 16103 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 213535123042000 its reverse (240321535312), we get a palindrome (213775444577312).

The spelling of 213535123042000 in words is "two hundred thirteen trillion, five hundred thirty-five billion, one hundred twenty-three million, forty-two thousand".