1013105104000 has 512 divisors, whose sum is σ = 2895322060800. Its totient is φ = 348941824000.

The previous prime is 1013105103971. The next prime is 1013105104001. The reversal of 1013105104000 is 4015013101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1013105104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433134831 + ... + 433137169.

It is an arithmetic number, because the mean of its divisors is an integer number (5654925900).

Almost surely, 2^{1013105104000} is an apocalyptic number.

1013105104000 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 1013105104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447661030400).

1013105104000 is an abundant number, since it is smaller than the sum of its proper divisors (1882216956800).

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

1013105104000 is a wasteful number, since it uses less digits than its factorization.

1013105104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 1013105104000 in words is "one trillion, thirteen billion, one hundred five million, one hundred four thousand".