1313016444040 has 512 divisors, whose sum is σ = 3730240512000. Its totient is φ = 414655718400.

The previous prime is 1313016444001. The next prime is 1313016444049. The reversal of 1313016444040 is 404446103131.

It is a junction number, because it is equal to n+sod(n) for n = 1313016443993 and 1313016444011.

It is not an unprimeable number, because it can be changed into a prime (1313016444049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1249301515 + ... + 1249302565.

It is an arithmetic number, because the mean of its divisors is an integer number (7285626000).

Almost surely, 2^{1313016444040} is an apocalyptic number.

1313016444040 is a gapful number since it is divisible by the number (10) 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 1313016444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865120256000).

1313016444040 is an abundant number, since it is smaller than the sum of its proper divisors (2417224067960).

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

1313016444040 is a wasteful number, since it uses less digits than its factorization.

1313016444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 1313016444040 in words is "one trillion, three hundred thirteen billion, sixteen million, four hundred forty-four thousand, forty".