213022110013110 has 384 divisors, whose sum is σ = 602644010342400. Its totient is φ = 52042827110400.

The previous prime is 213022110013061. The next prime is 213022110013159. The reversal of 213022110013110 is 11310011220312.

213022110013110 is a `hidden beast` number, since 2 + 1 + 30 + 221 + 100 + 1 + 311 + 0 = 666.

213022110013110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213022110013061) and next prime (213022110013159).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1298524471 + ... + 1298688509.

It is an arithmetic number, because the mean of its divisors is an integer number (1569385443600).

Almost surely, 2^{213022110013110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213022110013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301322005171200).

213022110013110 is an abundant number, since it is smaller than the sum of its proper divisors (389621900329290).

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

213022110013110 is a wasteful number, since it uses less digits than its factorization.

213022110013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164348 (or 164345 counting only the distinct ones).

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

Adding to 213022110013110 its reverse (11310011220312), we get a palindrome (224332121233422).

The spelling of 213022110013110 in words is "two hundred thirteen trillion, twenty-two billion, one hundred ten million, thirteen thousand, one hundred ten".