1310451120 has 240 divisors, whose sum is σ = 5083951392. Its totient is φ = 298967040.

The previous prime is 1310451119. The next prime is 1310451167. The reversal of 1310451120 is 211540131.

1310451120 is a `hidden beast` number, since 131 + 0 + 4 + 511 + 20 = 666.

1310451120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1310451093 and 1310451102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129774 + ... + 139506.

Almost surely, 2^1310451120 is an apocalyptic number.

1310451120 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 1310451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541975696).

1310451120 is an abundant number, since it is smaller than the sum of its proper divisors (3773500272).

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

1310451120 is a wasteful number, since it uses less digits than its factorization.

1310451120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1310451120 is about 36200.1535908344. The cubic root of 1310451120 is about 1094.3097670424.

Adding to 1310451120 its reverse (211540131), we get a palindrome (1521991251).

The spelling of 1310451120 in words is "one billion, three hundred ten million, four hundred fifty-one thousand, one hundred twenty".