1313305400000 has 336 divisors, whose sum is σ = 3569717710944. Its totient is φ = 475392000000.

The previous prime is 1313305399969. The next prime is 1313305400023. The reversal of 1313305400000 is 45033131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530198762 + ... + 530201238.

It is an arithmetic number, because the mean of its divisors is an integer number (10624159854).

Almost surely, 2^{1313305400000} is an apocalyptic number.

1313305400000 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 1313305400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784858855472).

1313305400000 is an abundant number, since it is smaller than the sum of its proper divisors (2256412310944).

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

1313305400000 is an equidigital number, since it uses as much as digits as its factorization.

1313305400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 1313305400000 in words is "one trillion, three hundred thirteen billion, three hundred five million, four hundred thousand".