1313000010 has 128 divisors (see below), whose sum is σ = 4022784000. Its totient is φ = 298520640.

The previous prime is 1312999993. The next prime is 1313000033. The reversal of 1313000010 is 100003131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1312999956 and 1313000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374365 + ... + 377855.

It is an arithmetic number, because the mean of its divisors is an integer number (31428000).

Almost surely, 2^1313000010 is an apocalyptic number.

1313000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011392000).

1313000010 is an abundant number, since it is smaller than the sum of its proper divisors (2709783990).

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

1313000010 is a wasteful number, since it uses less digits than its factorization.

1313000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1313000010 is about 36235.3420019737. The cubic root of 1313000010 is about 1095.0188024544.

Adding to 1313000010 its reverse (100003131), we get a palindrome (1413003141).

The spelling of 1313000010 in words is "one billion, three hundred thirteen million, ten", and thus it is an aban number.