213119104 has 64 divisors (see below), whose sum is σ = 483382080. Its totient is φ = 92646400.

The previous prime is 213119083. The next prime is 213119113. The reversal of 213119104 is 401911312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29094 + ... + 35674.

It is an arithmetic number, because the mean of its divisors is an integer number (7552845).

Almost surely, 2^213119104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241691040).

213119104 is an abundant number, since it is smaller than the sum of its proper divisors (270262976).

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

213119104 is a wasteful number, since it uses less digits than its factorization.

213119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 213119104 is about 14598.5993848725. The cubic root of 213119104 is about 597.3205558137.

The spelling of 213119104 in words is "two hundred thirteen million, one hundred nineteen thousand, one hundred four".