213111360 has 504 divisors, whose sum is σ = 944319168. Its totient is φ = 42854400.

The previous prime is 213111359. The next prime is 213111373. The reversal of 213111360 is 63111312.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×213111360² = 90832903522099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6874545 + ... + 6874575.

Almost surely, 2^213111360 is an apocalyptic number.

213111360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472159584).

213111360 is an abundant number, since it is smaller than the sum of its proper divisors (731207808).

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

213111360 is a wasteful number, since it uses less digits than its factorization.

213111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 213111360 is about 14598.3341515393. The cubic root of 213111360 is about 597.3133208821.

Adding to 213111360 its reverse (63111312), we get a palindrome (276222672).

The spelling of 213111360 in words is "two hundred thirteen million, one hundred eleven thousand, three hundred sixty".