1010314053200 has 60 divisors (see below), whose sum is σ = 2428131849660. Its totient is φ = 403983713280.

The previous prime is 1010314053139. The next prime is 1010314053211. The reversal of 1010314053200 is 23504130101.

It can be written as a sum of positive squares in 6 ways, for example, as 72042854464 + 938271198736 = 268408^2 + 968644^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700766 + ... + 1584834.

It is an arithmetic number, because the mean of its divisors is an integer number (40468864161).

Almost surely, 2^{1010314053200} is an apocalyptic number.

1010314053200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010314053200 is an abundant number, since it is smaller than the sum of its proper divisors (1417817796460).

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

1010314053200 is a wasteful number, since it uses less digits than its factorization.

1010314053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886944 (or 886933 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1010314053200 its reverse (23504130101), we get a palindrome (1033818183301).

The spelling of 1010314053200 in words is "one trillion, ten billion, three hundred fourteen million, fifty-three thousand, two hundred".