1311133330 has 32 divisors (see below), whose sum is σ = 2691090864. Its totient is φ = 455632896.

The previous prime is 1311133319. The next prime is 1311133349. The reversal of 1311133330 is 333311131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 112381201 + 1198752129 = 10601^2 + 34623^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1311133298 and 1311133307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294427 + ... + 298846.

Almost surely, 2^1311133330 is an apocalyptic number.

1311133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311133330 is an abundant number, since it is smaller than the sum of its proper divisors (1379957534).

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

1311133330 is a wasteful number, since it uses less digits than its factorization.

1311133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593310.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 1311133330 is about 36209.5751148781. The cubic root of 1311133330 is about 1094.4996302997.

Adding to 1311133330 its reverse (333311131), we get a palindrome (1644444461).

The spelling of 1311133330 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, three hundred thirty".