1310413120 has 56 divisors (see below), whose sum is σ = 3124422504. Its totient is φ = 523493376.

The previous prime is 1310413103. The next prime is 1310413129. The reversal of 1310413120 is 213140131.

It can be written as a sum of positive squares in 4 ways, for example, as 112699456 + 1197713664 = 10616^2 + 34608^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310413094 and 1310413103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310413129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302812 + ... + 307108.

It is an arithmetic number, because the mean of its divisors is an integer number (55793259).

Almost surely, 2^1310413120 is an apocalyptic number.

1310413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310413120 is an abundant number, since it is smaller than the sum of its proper divisors (1814009384).

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

1310413120 is an equidigital number, since it uses as much as digits as its factorization.

1310413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1310413120 is about 36199.6287273779. The cubic root of 1310413120 is about 1094.2991894704.

Adding to 1310413120 its reverse (213140131), we get a palindrome (1523553251).

The spelling of 1310413120 in words is "one billion, three hundred ten million, four hundred thirteen thousand, one hundred twenty".