1303314100 has 72 divisors (see below), whose sum is σ = 3116113056. Its totient is φ = 469200000.

The previous prime is 1303314097. The next prime is 1303314151. The reversal of 1303314100 is 14133031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105235 + ... + 116965.

It is an arithmetic number, because the mean of its divisors is an integer number (43279348).

Almost surely, 2^1303314100 is an apocalyptic number.

1303314100 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 1303314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558056528).

1303314100 is an abundant number, since it is smaller than the sum of its proper divisors (1812798956).

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

1303314100 is a wasteful number, since it uses less digits than its factorization.

1303314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1303314100 is about 36101.4417994628. The cubic root of 1303314100 is about 1092.3195281628.

Adding to 1303314100 its reverse (14133031), we get a palindrome (1317447131).

It can be divided in two parts, 130331 and 4100, that added together give a palindrome (134431).

The spelling of 1303314100 in words is "one billion, three hundred three million, three hundred fourteen thousand, one hundred".