1213321000 has 96 divisors (see below), whose sum is σ = 2997357480. Its totient is φ = 459648000.

The previous prime is 1213320967. The next prime is 1213321051. The reversal of 1213321000 is 1233121.

It can be written as a sum of positive squares in 4 ways, for example, as 507781156 + 705539844 = 22534^2 + 26562^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359320 + ... + 362680.

Almost surely, 2^1213321000 is an apocalyptic number.

1213321000 is a gapful number since it is divisible by the number (10) 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 1213321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498678740).

1213321000 is an abundant number, since it is smaller than the sum of its proper divisors (1784036480).

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

1213321000 is a wasteful number, since it uses less digits than its factorization.

1213321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1213321000 is about 34832.7575709992. The cubic root of 1213321000 is about 1066.5762401642.

Adding to 1213321000 its reverse (1233121), we get a palindrome (1214554121).

It can be divided in two parts, 12133 and 21000, that added together give a palindrome (33133).

The spelling of 1213321000 in words is "one billion, two hundred thirteen million, three hundred twenty-one thousand".