1303164300 has 144 divisors (see below), whose sum is σ = 3984744960. Its totient is φ = 328285440.

The previous prime is 1303164287. The next prime is 1303164301. The reversal of 1303164300 is 34613031.

1303164300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1303164301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407307 + ... + 410493.

It is an arithmetic number, because the mean of its divisors is an integer number (27671840).

Almost surely, 2^1303164300 is an apocalyptic number.

1303164300 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 1303164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992372480).

1303164300 is an abundant number, since it is smaller than the sum of its proper divisors (2681580660).

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

1303164300 is a wasteful number, since it uses less digits than its factorization.

1303164300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1303164300 is about 36099.3670304619. The cubic root of 1303164300 is about 1092.2776769737.

Adding to 1303164300 its reverse (34613031), we get a palindrome (1337777331).

The spelling of 1303164300 in words is "one billion, three hundred three million, one hundred sixty-four thousand, three hundred".