213106523034510 has 288 divisors, whose sum is σ = 680601925729440. Its totient is φ = 46000797018624.

The previous prime is 213106523034487. The next prime is 213106523034539. The reversal of 213106523034510 is 15430325601312.

213106523034510 is a `hidden beast` number, since 2 + 1 + 3 + 10 + 65 + 230 + 345 + 10 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22549852 + ... + 30573008.

It is an arithmetic number, because the mean of its divisors is an integer number (2363201131005).

Almost surely, 2^{213106523034510} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213106523034510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340300962864720).

213106523034510 is an abundant number, since it is smaller than the sum of its proper divisors (467495402694930).

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

213106523034510 is a wasteful number, since it uses less digits than its factorization.

213106523034510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023520 (or 8023510 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 213106523034510 its reverse (15430325601312), we get a palindrome (228536848635822).

The spelling of 213106523034510 in words is "two hundred thirteen trillion, one hundred six billion, five hundred twenty-three million, thirty-four thousand, five hundred ten".