1330406100 has 144 divisors (see below), whose sum is σ = 4307016000. Its totient is φ = 352287360.

The previous prime is 1330406083. The next prime is 1330406123. The reversal of 1330406100 is 16040331.

1330406100 is a `hidden beast` number, since 13 + 3 + 0 + 40 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400647 + ... + 403953.

Almost surely, 2^1330406100 is an apocalyptic number.

1330406100 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 1330406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153508000).

1330406100 is an abundant number, since it is smaller than the sum of its proper divisors (2976609900).

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

1330406100 is a wasteful number, since it uses less digits than its factorization.

1330406100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330406100 is about 36474.7323499433. The cubic root of 1330406100 is about 1099.8363668441.

Adding to 1330406100 its reverse (16040331), we get a palindrome (1346446431).

The spelling of 1330406100 in words is "one billion, three hundred thirty million, four hundred six thousand, one hundred".