1013004933600 has 720 divisors, whose sum is σ = 3671704995840. Its totient is φ = 242569958400.

The previous prime is 1013004933569. The next prime is 1013004933613. The reversal of 1013004933600 is 63394003101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 4462576687 + ... + 4462576913.

It is an arithmetic number, because the mean of its divisors is an integer number (5099590272).

Almost surely, 2^{1013004933600} is an apocalyptic number.

1013004933600 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 1013004933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835852497920).

1013004933600 is an abundant number, since it is smaller than the sum of its proper divisors (2658700062240).

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

1013004933600 is a wasteful number, since it uses less digits than its factorization.

1013004933600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 1013004933600 its reverse (63394003101), we get a palindrome (1076398936701).

The spelling of 1013004933600 in words is "one trillion, thirteen billion, four million, nine hundred thirty-three thousand, six hundred".