1323552100 has 72 divisors (see below), whose sum is σ = 3114253800. Its totient is φ = 485345280.

The previous prime is 1323552079. The next prime is 1323552107. The reversal of 1323552100 is 12553231.

It can be written as a sum of positive squares in 12 ways, for example, as 1112489316 + 211062784 = 33354^2 + 14528^2 .

It is a super-2 number, since 2×1323552100² = 3503580322828820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1323552107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190284 + ... + 197116.

It is an arithmetic number, because the mean of its divisors is an integer number (43253525).

Almost surely, 2^1323552100 is an apocalyptic number.

1323552100 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 1323552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557126900).

1323552100 is an abundant number, since it is smaller than the sum of its proper divisors (1790701700).

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

1323552100 is a wasteful number, since it uses less digits than its factorization.

1323552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1323552100 is about 36380.6555740822. The cubic root of 1323552100 is about 1097.9443979440.

The spelling of 1323552100 in words is "one billion, three hundred twenty-three million, five hundred fifty-two thousand, one hundred".