1303210000 has 125 divisors (see below), whose sum is σ = 3330489371. Its totient is φ = 493848000.

The previous prime is 1303209997. The next prime is 1303210009. The reversal of 1303210000 is 123031.

The square root of 1303210000 is 36100.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 102171664 + 1201038336 = 10108^2 + 34656^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 68589991 + ... + 68590009.

Almost surely, 2^1303210000 is an apocalyptic number.

1303210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1303210000 is the 36100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303210000

1303210000 is an abundant number, since it is smaller than the sum of its proper divisors (2027279371).

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

1303210000 is an frugal number, since it uses more digits than its factorization.

1303210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The cubic root of 1303210000 is about 1092.2904449995.

Adding to 1303210000 its reverse (123031), we get a palindrome (1303333031).

It can be divided in two parts, 13032 and 10000, that added together give a palindrome (23032).

The spelling of 1303210000 in words is "one billion, three hundred three million, two hundred ten thousand".