213243430402000 has 160 divisors (see below), whose sum is σ = 533443961999520. Its totient is φ = 82349713510400.

The previous prime is 213243430401973. The next prime is 213243430402061. The reversal of 213243430402000 is 204034342312.

It can be written as a sum of positive squares in 16 ways, for example, as 156781851817536 + 56461578584464 = 12521256^2 + 7514092^2 .

It is a super-2 number, since 2×213243430402000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213243430402000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787330602 + ... + 787601398.

It is an arithmetic number, because the mean of its divisors is an integer number (3334024762497).

Almost surely, 2^{213243430402000} is an apocalyptic number.

213243430402000 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 213243430402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266721980999760).

213243430402000 is an abundant number, since it is smaller than the sum of its proper divisors (320200531597520).

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

213243430402000 is a wasteful number, since it uses less digits than its factorization.

213243430402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284426 (or 284410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 213243430402000 its reverse (204034342312), we get a palindrome (213447464744312).

The spelling of 213243430402000 in words is "two hundred thirteen trillion, two hundred forty-three billion, four hundred thirty million, four hundred two thousand".