1311003120 has 160 divisors (see below), whose sum is σ = 4664701440. Its totient is φ = 298368000.

The previous prime is 1311003119. The next prime is 1311003139. The reversal of 1311003120 is 213001131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1311003096 and 1311003105.

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 31 ways as a sum of consecutive naturals, for example, 420126 + ... + 423234.

It is an arithmetic number, because the mean of its divisors is an integer number (29154384).

Almost surely, 2^1311003120 is an apocalyptic number.

1311003120 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 1311003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332350720).

1311003120 is an abundant number, since it is smaller than the sum of its proper divisors (3353698320).

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

1311003120 is a wasteful number, since it uses less digits than its factorization.

1311003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1311003120 is about 36207.7770651555. Note that the first 3 decimals coincide. The cubic root of 1311003120 is about 1094.4633971388.

Adding to 1311003120 its reverse (213001131), we get a palindrome (1524004251).

The spelling of 1311003120 in words is "one billion, three hundred eleven million, three thousand, one hundred twenty".