1303513585920 has 3456 divisors, whose sum is σ = 6355856263680. Its totient is φ = 252829237248.

The previous prime is 1303513585793. The next prime is 1303513585967. The reversal of 1303513585920 is 295853153031.

1303513585920 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 1 + 3 + 58 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30314269419 + ... + 30314269461.

It is an arithmetic number, because the mean of its divisors is an integer number (1839078780).

Almost surely, 2^{1303513585920} is an apocalyptic number.

1303513585920 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 1303513585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177928131840).

1303513585920 is an abundant number, since it is smaller than the sum of its proper divisors (5052342677760).

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

1303513585920 is an equidigital number, since it uses as much as digits as its factorization.

1303513585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 1303513585920 in words is "one trillion, three hundred three billion, five hundred thirteen million, five hundred eighty-five thousand, nine hundred twenty".