213141101310 has 96 divisors (see below), whose sum is σ = 560209478400. Its totient is φ = 56221056000.

The previous prime is 213141101309. The next prime is 213141101347. The reversal of 213141101310 is 13101141312.

It is a happy number.

213141101310 is a `hidden beast` number, since 213 + 1 + 41 + 101 + 310 = 666.

213141101310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213141101310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3198835 + ... + 3264785.

It is an arithmetic number, because the mean of its divisors is an integer number (5835515400).

Almost surely, 2^213141101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213141101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280104739200).

213141101310 is an abundant number, since it is smaller than the sum of its proper divisors (347068377090).

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

213141101310 is a wasteful number, since it uses less digits than its factorization.

213141101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66354 (or 66351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213141101310 its reverse (13101141312), we get a palindrome (226242242622).

The spelling of 213141101310 in words is "two hundred thirteen billion, one hundred forty-one million, one hundred one thousand, three hundred ten".