1038201300 has 90 divisors (see below), whose sum is σ = 3365464718. Its totient is φ = 276851520.

The previous prime is 1038201299. The next prime is 1038201313. The reversal of 1038201300 is 31028301.

It can be written as a sum of positive squares in 3 ways, for example, as 365421456 + 672779844 = 19116^2 + 25938^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 55987 + ... + 72186.

Almost surely, 2^1038201300 is an apocalyptic number.

1038201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038201300 is an abundant number, since it is smaller than the sum of its proper divisors (2327263418).

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

1038201300 is a wasteful number, since it uses less digits than its factorization.

1038201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128199 (or 128183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1038201300 is about 32221.1312650565. The cubic root of 1038201300 is about 1012.5749738720.

Adding to 1038201300 its reverse (31028301), we get a palindrome (1069229601).

The spelling of 1038201300 in words is "one billion, thirty-eight million, two hundred one thousand, three hundred".