213430033140 has 192 divisors, whose sum is σ = 612452897280. Its totient is φ = 55521607680.

The previous prime is 213430033129. The next prime is 213430033147. The reversal of 213430033140 is 41330034312.

It is a super-2 number, since 2×213430033140² (a number of 23 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 213430033140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213430033147) 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, 326845054 + ... + 326845706.

It is an arithmetic number, because the mean of its divisors is an integer number (3189858840).

Almost surely, 2^213430033140 is an apocalyptic number.

213430033140 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 213430033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306226448640).

213430033140 is an abundant number, since it is smaller than the sum of its proper divisors (399022864140).

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

213430033140 is a wasteful number, since it uses less digits than its factorization.

213430033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213430033140 its reverse (41330034312), we get a palindrome (254760067452).

The spelling of 213430033140 in words is "two hundred thirteen billion, four hundred thirty million, thirty-three thousand, one hundred forty".