213113212290 has 96 divisors (see below), whose sum is σ = 605321121600. Its totient is φ = 51590770560.

The previous prime is 213113212289. The next prime is 213113212357. The reversal of 213113212290 is 92212311312.

213113212290 is a `hidden beast` number, since 2 + 1 + 311 + 321 + 2 + 29 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550101 + ... + 853719.

It is an arithmetic number, because the mean of its divisors is an integer number (6305428350).

Almost surely, 2^213113212290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113212290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302660560800).

213113212290 is an abundant number, since it is smaller than the sum of its proper divisors (392207909310).

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

213113212290 is a wasteful number, since it uses less digits than its factorization.

213113212290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304352 (or 304349 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 213113212290 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, two hundred ninety".