1013354400 has 72 divisors (see below), whose sum is σ = 3298476384. Its totient is φ = 270227200.

The previous prime is 1013354389. The next prime is 1013354437. The reversal of 1013354400 is 44533101.

1013354400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208716 + ... + 213515.

It is an arithmetic number, because the mean of its divisors is an integer number (45812172).

Almost surely, 2^1013354400 is an apocalyptic number.

1013354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013354400 is an abundant number, since it is smaller than the sum of its proper divisors (2285121984).

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

1013354400 is a wasteful number, since it uses less digits than its factorization.

1013354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422254 (or 422241 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1013354400 is about 31833.2279230366. The cubic root of 1013354400 is about 1004.4317968288.

Adding to 1013354400 its reverse (44533101), we get a palindrome (1057887501).

The spelling of 1013354400 in words is "one billion, thirteen million, three hundred fifty-four thousand, four hundred".