1313010006 has 64 divisors (see below), whose sum is σ = 3278499840. Its totient is φ = 340572960.

The previous prime is 1313009989. The next prime is 1313010007. The reversal of 1313010006 is 6000103131.

It is a super-2 number, since 2×1313010006² = 3447990551712240072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313010007) 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, 445285 + ... + 448223.

It is an arithmetic number, because the mean of its divisors is an integer number (51226560).

Almost surely, 2^1313010006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313010006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639249920).

1313010006 is an abundant number, since it is smaller than the sum of its proper divisors (1965489834).

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

1313010006 is a wasteful number, since it uses less digits than its factorization.

1313010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1313010006 is about 36235.4799333471. The cubic root of 1313010006 is about 1095.0215812765.

Adding to 1313010006 its reverse (6000103131), we get a palindrome (7313113137).

The spelling of 1313010006 in words is "one billion, three hundred thirteen million, ten thousand, six".