213759011136 has 224 divisors, whose sum is σ = 647018467200. Its totient is φ = 61683793920.

The previous prime is 213759011131. The next prime is 213759011183. The reversal of 213759011136 is 631110957312.

It is a super-3 number, since 3×213759011136³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213759011094 and 213759011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213759011131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4447200 + ... + 4495008.

It is an arithmetic number, because the mean of its divisors is an integer number (2888475300).

Almost surely, 2^213759011136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213759011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323509233600).

213759011136 is an abundant number, since it is smaller than the sum of its proper divisors (433259456064).

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

213759011136 is a wasteful number, since it uses less digits than its factorization.

213759011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47937 (or 47927 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

Adding to 213759011136 its reverse (631110957312), we get a palindrome (844869968448).

The spelling of 213759011136 in words is "two hundred thirteen billion, seven hundred fifty-nine million, eleven thousand, one hundred thirty-six".