1311333012 has 144 divisors (see below), whose sum is σ = 3923023104. Its totient is φ = 364800000.

The previous prime is 1311333007. The next prime is 1311333059. The reversal of 1311333012 is 2103331131.

It is a happy number.

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, 273637 + ... + 278387.

It is an arithmetic number, because the mean of its divisors is an integer number (27243216).

Almost surely, 2^1311333012 is an apocalyptic number.

1311333012 is a gapful number since it is divisible by the number (12) 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 1311333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961511552).

1311333012 is an abundant number, since it is smaller than the sum of its proper divisors (2611690092).

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

1311333012 is a wasteful number, since it uses less digits than its factorization.

1311333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311333012 is about 36212.3323192528. The cubic root of 1311333012 is about 1094.5551905737. Note that the first 3 decimals are identical.

Adding to 1311333012 its reverse (2103331131), we get a palindrome (3414664143).

The spelling of 1311333012 in words is "one billion, three hundred eleven million, three hundred thirty-three thousand, twelve".