213001320 has 64 divisors (see below), whose sum is σ = 730293120. Its totient is φ = 48685824.

The previous prime is 213001303. The next prime is 213001363. The reversal of 213001320 is 23100312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213001296 and 213001305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125947 + ... + 127626.

It is an arithmetic number, because the mean of its divisors is an integer number (11410830).

Almost surely, 2^213001320 is an apocalyptic number.

213001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001320 is an abundant number, since it is smaller than the sum of its proper divisors (517291800).

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

213001320 is a wasteful number, since it uses less digits than its factorization.

213001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253594 (or 253590 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213001320 is about 14594.5647417112. The cubic root of 213001320 is about 597.2104956518.

Adding to 213001320 its reverse (23100312), we get a palindrome (236101632).

The spelling of 213001320 in words is "two hundred thirteen million, one thousand, three hundred twenty".