213120348 has 24 divisors (see below), whose sum is σ = 568321152. Its totient is φ = 60891504.

The previous prime is 213120307. The next prime is 213120371. The reversal of 213120348 is 843021312.

213120348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213120348² = 90840565463282208, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1268490 + ... + 1268657.

It is an arithmetic number, because the mean of its divisors is an integer number (23680048).

Almost surely, 2^213120348 is an apocalyptic number.

213120348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213120348 is an abundant number, since it is smaller than the sum of its proper divisors (355200804).

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

213120348 is a wasteful number, since it uses less digits than its factorization.

213120348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537161 (or 2537159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213120348 is about 14598.6419916374. The cubic root of 213120348 is about 597.3217180204.

The spelling of 213120348 in words is "two hundred thirteen million, one hundred twenty thousand, three hundred forty-eight".