1311104120 has 64 divisors (see below), whose sum is σ = 3110400000. Its totient is φ = 496015488.

The previous prime is 1311104051. The next prime is 1311104149. The reversal of 1311104120 is 214011131.

It is a junction number, because it is equal to n+sod(n) for n = 1311104095 and 1311104104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654881 + ... + 656879.

It is an arithmetic number, because the mean of its divisors is an integer number (48600000).

Almost surely, 2^1311104120 is an apocalyptic number.

1311104120 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 1311104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200000).

1311104120 is an abundant number, since it is smaller than the sum of its proper divisors (1799295880).

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

1311104120 is a wasteful number, since it uses less digits than its factorization.

1311104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1311104120 is about 36209.1717662804. The cubic root of 1311104120 is about 1094.4915023260.

Adding to 1311104120 its reverse (214011131), we get a palindrome (1525115251).

The spelling of 1311104120 in words is "one billion, three hundred eleven million, one hundred four thousand, one hundred twenty".