1310051120 has 80 divisors (see below), whose sum is σ = 3485640000. Its totient is φ = 448561152.

The previous prime is 1310051111. The next prime is 1310051123. The reversal of 1310051120 is 211500131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1310051095 and 1310051104.

It is not an unprimeable number, because it can be changed into a prime (1310051123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698504 + ... + 700376.

It is an arithmetic number, because the mean of its divisors is an integer number (43570500).

Almost surely, 2^1310051120 is an apocalyptic number.

1310051120 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 1310051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742820000).

1310051120 is an abundant number, since it is smaller than the sum of its proper divisors (2175588880).

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

1310051120 is a wasteful number, since it uses less digits than its factorization.

1310051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1310051120 is about 36194.6283307344. The cubic root of 1310051120 is about 1094.1984139253.

Adding to 1310051120 its reverse (211500131), we get a palindrome (1521551251).

The spelling of 1310051120 in words is "one billion, three hundred ten million, fifty-one thousand, one hundred twenty".