213313201310010 has 256 divisors, whose sum is σ = 527837537525760. Its totient is φ = 55150173112320.

The previous prime is 213313201309951. The next prime is 213313201310021. The reversal of 213313201310010 is 10013102313312.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125997164724 + ... + 125997166416.

It is an arithmetic number, because the mean of its divisors is an integer number (2061865380960).

Almost surely, 2^{213313201310010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313201310010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263918768762880).

213313201310010 is an abundant number, since it is smaller than the sum of its proper divisors (314524336215750).

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

213313201310010 is a wasteful number, since it uses less digits than its factorization.

213313201310010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213313201310010 its reverse (10013102313312), we get a palindrome (223326303623322).

The spelling of 213313201310010 in words is "two hundred thirteen trillion, three hundred thirteen billion, two hundred one million, three hundred ten thousand, ten".