1311133936 has 40 divisors (see below), whose sum is σ = 2925419904. Its totient is φ = 557618880.

The previous prime is 1311133919. The next prime is 1311133979. The reversal of 1311133936 is 6393311131.

It is a junction number, because it is equal to n+sod(n) for n = 1311133898 and 1311133907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30010 + ... + 59353.

Almost surely, 2^1311133936 is an apocalyptic number.

1311133936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311133936 is an abundant number, since it is smaller than the sum of its proper divisors (1614285968).

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

1311133936 is a wasteful number, since it uses less digits than its factorization.

1311133936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89509 (or 89503 counting only the distinct ones).

The product of its digits is 4374, while the sum is 31.

The square root of 1311133936 is about 36209.5834828295. The cubic root of 1311133936 is about 1094.4997989240.

The spelling of 1311133936 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, nine hundred thirty-six".