1313303103000 has 576 divisors, whose sum is σ = 5200273690560. Its totient is φ = 292838400000.

The previous prime is 1313303102987. The next prime is 1313303103001. The reversal of 1313303103000 is 3013033131.

1313303103000 is a `hidden beast` number, since 1 + 3 + 1 + 330 + 31 + 0 + 300 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313303103001) 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 143 ways as a sum of consecutive naturals, for example, 105896800 + ... + 105909200.

It is an arithmetic number, because the mean of its divisors is an integer number (9028252935).

Almost surely, 2^{1313303103000} is an apocalyptic number.

1313303103000 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 1313303103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600136845280).

1313303103000 is an abundant number, since it is smaller than the sum of its proper divisors (3886970587560).

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

1313303103000 is a wasteful number, since it uses less digits than its factorization.

1313303103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1313303103000 its reverse (3013033131), we get a palindrome (1316316136131).

The spelling of 1313303103000 in words is "one trillion, three hundred thirteen billion, three hundred three million, one hundred three thousand".