1313102016 has 168 divisors, whose sum is σ = 4073981184. Its totient is φ = 418556160.

The previous prime is 1313101997. The next prime is 1313102017. The reversal of 1313102016 is 6102013131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1313102016.

It is not an unprimeable number, because it can be changed into a prime (1313102017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355861 + ... + 359531.

It is an arithmetic number, because the mean of its divisors is an integer number (24249888).

Almost surely, 2^1313102016 is an apocalyptic number.

1313102016 is a gapful number since it is divisible by the number (16) 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 1313102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036990592).

1313102016 is an abundant number, since it is smaller than the sum of its proper divisors (2760879168).

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

1313102016 is an equidigital number, since it uses as much as digits as its factorization.

1313102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1313102016 is about 36236.7495231015. The cubic root of 1313102016 is about 1095.0471587871.

Adding to 1313102016 its reverse (6102013131), we get a palindrome (7415115147).

The spelling of 1313102016 in words is "one billion, three hundred thirteen million, one hundred two thousand, sixteen".