1013301344000 has 144 divisors (see below), whose sum is σ = 2753739477216. Its totient is φ = 368473088000.

The previous prime is 1013301343993. The next prime is 1013301344039. The reversal of 1013301344000 is 4431033101.

It is a super-2 number, since 2×1013301344000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087349 + ... + 1791348.

It is an arithmetic number, because the mean of its divisors is an integer number (19123190814).

Almost surely, 2^{1013301344000} is an apocalyptic number.

1013301344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013301344000 is an abundant number, since it is smaller than the sum of its proper divisors (1740438133216).

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

1013301344000 is an equidigital number, since it uses as much as digits as its factorization.

1013301344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878739 (or 2878715 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1013301344000 its reverse (4431033101), we get a palindrome (1017732377101).

The spelling of 1013301344000 in words is "one trillion, thirteen billion, three hundred one million, three hundred forty-four thousand".