1330133400 has 192 divisors, whose sum is σ = 4639658400. Its totient is φ = 354585600.

The previous prime is 1330133381. The next prime is 1330133429. The reversal of 1330133400 is 43310331.

1330133400 is a `hidden beast` number, since 1 + 330 + 1 + 334 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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, 435880 + ... + 438920.

Almost surely, 2^1330133400 is an apocalyptic number.

1330133400 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 1330133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319829200).

1330133400 is an abundant number, since it is smaller than the sum of its proper divisors (3309525000).

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

1330133400 is an equidigital number, since it uses as much as digits as its factorization.

1330133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330133400 is about 36470.9939541000. The cubic root of 1330133400 is about 1099.7612153868.

Adding to 1330133400 its reverse (43310331), we get a palindrome (1373443731).

The spelling of 1330133400 in words is "one billion, three hundred thirty million, one hundred thirty-three thousand, four hundred".