1326152100 has 288 divisors, whose sum is σ = 4877910016. Its totient is φ = 270604800.

The previous prime is 1326152083. The next prime is 1326152123. The reversal of 1326152100 is 12516231.

1326152100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 845517 + ... + 847083.

Almost surely, 2^1326152100 is an apocalyptic number.

1326152100 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 1326152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438955008).

1326152100 is an abundant number, since it is smaller than the sum of its proper divisors (3551757916).

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

1326152100 is a wasteful number, since it uses less digits than its factorization.

1326152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1326152100 is about 36416.3713184057. The cubic root of 1326152100 is about 1098.6628656273.

Adding to 1326152100 its reverse (12516231), we get a palindrome (1338668331).

The spelling of 1326152100 in words is "one billion, three hundred twenty-six million, one hundred fifty-two thousand, one hundred".