213102153 has 48 divisors (see below), whose sum is σ = 361820160. Its totient is φ = 119512800.

The previous prime is 213102139. The next prime is 213102161. The reversal of 213102153 is 351201312.

It is not a de Polignac number, because 213102153 - 2¹⁷ = 212971081 is a prime.

It is a super-2 number, since 2×213102153² = 90825055226470818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213102173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69078 + ... + 72096.

It is an arithmetic number, because the mean of its divisors is an integer number (7537920).

Almost surely, 2^213102153 is an apocalyptic number.

213102153 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213102153 is a deficient number, since it is larger than the sum of its proper divisors (148718007).

213102153 is a wasteful number, since it uses less digits than its factorization.

213102153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213102153 is about 14598.0188039336. The cubic root of 213102153 is about 597.3047188959.

Adding to 213102153 its reverse (351201312), we get a palindrome (564303465).

The spelling of 213102153 in words is "two hundred thirteen million, one hundred two thousand, one hundred fifty-three".