1303142100 has 108 divisors (see below), whose sum is σ = 4082926176. Its totient is φ = 320760960.

The previous prime is 1303142063. The next prime is 1303142149. The reversal of 1303142100 is 12413031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1303142100.

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 35 ways as a sum of consecutive naturals, for example, 37849 + ... + 63551.

It is an arithmetic number, because the mean of its divisors is an integer number (37804872).

Almost surely, 2^1303142100 is an apocalyptic number.

1303142100 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 1303142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041463088).

1303142100 is an abundant number, since it is smaller than the sum of its proper divisors (2779784076).

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

1303142100 is a wasteful number, since it uses less digits than its factorization.

1303142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746 (or 25726 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1303142100 is about 36099.0595445366. The cubic root of 1303142100 is about 1092.2714744552.

Adding to 1303142100 its reverse (12413031), we get a palindrome (1315555131).

The spelling of 1303142100 in words is "one billion, three hundred three million, one hundred forty-two thousand, one hundred".