1133313330 has 256 divisors, whose sum is σ = 3250368000. Its totient is φ = 250822656.

The previous prime is 1133313323. The next prime is 1133313341. The reversal of 1133313330 is 333133311.

It is a junction number, because it is equal to n+sod(n) for n = 1133313297 and 1133313306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10397316 + ... + 10397424.

It is an arithmetic number, because the mean of its divisors is an integer number (12696750).

Almost surely, 2^1133313330 is an apocalyptic number.

1133313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625184000).

1133313330 is an abundant number, since it is smaller than the sum of its proper divisors (2117054670).

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

1133313330 is a wasteful number, since it uses less digits than its factorization.

1133313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 1133313330 is about 33664.7193661257. The cubic root of 1133313330 is about 1042.5974674382.

Adding to 1133313330 its reverse (333133311), we get a palindrome (1466446641).

It can be divided in two parts, 1 and 133313330, that added together give a palindrome (133313331).

The spelling of 1133313330 in words is "one billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred thirty".