1311414120 has 48 divisors (see below), whose sum is σ = 4262097060. Its totient is φ = 349710336.

The previous prime is 1311414109. The next prime is 1311414127. The reversal of 1311414120 is 214141131.

1311414120 is a `hidden beast` number, since 131 + 1 + 414 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1304220996 + 7193124 = 36114^2 + 2682^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311414093 and 1311414102.

It is not an unprimeable number, because it can be changed into a prime (1311414127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821049 + ... + 1821768.

Almost surely, 2^1311414120 is an apocalyptic number.

1311414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311414120 is an abundant number, since it is smaller than the sum of its proper divisors (2950682940).

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

1311414120 is a wasteful number, since it uses less digits than its factorization.

1311414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642834 (or 3642827 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1311414120 is about 36213.4521966631. The cubic root of 1311414120 is about 1094.5777567592.

Adding to 1311414120 its reverse (214141131), we get a palindrome (1525555251).

The spelling of 1311414120 in words is "one billion, three hundred eleven million, four hundred fourteen thousand, one hundred twenty".