1213003300 has 72 divisors (see below), whose sum is σ = 2768025960. Its totient is φ = 460723200.

The previous prime is 1213003291. The next prime is 1213003313. The reversal of 1213003300 is 33003121.

It can be written as a sum of positive squares in 12 ways, for example, as 1032208384 + 180794916 = 32128^2 + 13446^2 .

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, 173472 + ... + 180328.

It is an arithmetic number, because the mean of its divisors is an integer number (38444805).

Almost surely, 2^1213003300 is an apocalyptic number.

1213003300 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 1213003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384012980).

1213003300 is an abundant number, since it is smaller than the sum of its proper divisors (1555022660).

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

1213003300 is a wasteful number, since it uses less digits than its factorization.

1213003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1213003300 is about 34828.1969099751. The cubic root of 1213003300 is about 1066.4831400829.

Adding to 1213003300 its reverse (33003121), we get a palindrome (1246006421).

The spelling of 1213003300 in words is "one billion, two hundred thirteen million, three thousand, three hundred".