213134243140 has 288 divisors, whose sum is σ = 604154363904. Its totient is φ = 61288980480.

The previous prime is 213134243107. The next prime is 213134243197. The reversal of 213134243140 is 41342431312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 213134243099 and 213134243108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26016445 + ... + 26024635.

It is an arithmetic number, because the mean of its divisors is an integer number (2097758208).

Almost surely, 2^213134243140 is an apocalyptic number.

213134243140 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 213134243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302077181952).

213134243140 is an abundant number, since it is smaller than the sum of its proper divisors (391020120764).

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

213134243140 is a wasteful number, since it uses less digits than its factorization.

213134243140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213134243140 its reverse (41342431312), we get a palindrome (254476674452).

The spelling of 213134243140 in words is "two hundred thirteen billion, one hundred thirty-four million, two hundred forty-three thousand, one hundred forty".