1311300120 has 128 divisors (see below), whose sum is σ = 4246200000. Its totient is φ = 322043904.

The previous prime is 1311300113. The next prime is 1311300139. The reversal of 1311300120 is 210031131.

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 = 1311300096 and 1311300105.

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, 1049256 + ... + 1050504.

Almost surely, 2^1311300120 is an apocalyptic number.

1311300120 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 1311300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123100000).

1311300120 is an abundant number, since it is smaller than the sum of its proper divisors (2934899880).

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

1311300120 is a wasteful number, since it uses less digits than its factorization.

1311300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

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

The square root of 1311300120 is about 36211.8781617303. The cubic root of 1311300120 is about 1094.5460389674.

Adding to 1311300120 its reverse (210031131), we get a palindrome (1521331251).

The spelling of 1311300120 in words is "one billion, three hundred eleven million, three hundred thousand, one hundred twenty".