1316130144 has 192 divisors, whose sum is σ = 4066739712. Its totient is φ = 364953600.

The previous prime is 1316130121. The next prime is 1316130149. The reversal of 1316130144 is 4410316131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316130149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3976059 + ... + 3976389.

It is an arithmetic number, because the mean of its divisors is an integer number (21180936).

Almost surely, 2^1316130144 is an apocalyptic number.

1316130144 is a gapful number since it is divisible by the number (14) 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 1316130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033369856).

1316130144 is an abundant number, since it is smaller than the sum of its proper divisors (2750609568).

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

1316130144 is a wasteful number, since it uses less digits than its factorization.

1316130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1316130144 is about 36278.5080178334. The cubic root of 1316130144 is about 1095.8882707068. Note that the first 3 decimals are identical.

Adding to 1316130144 its reverse (4410316131), we get a palindrome (5726446275).

The spelling of 1316130144 in words is "one billion, three hundred sixteen million, one hundred thirty thousand, one hundred forty-four".