1321013200 has 60 divisors (see below), whose sum is σ = 3417881068. Its totient is φ = 487756800.

The previous prime is 1321013189. The next prime is 1321013201. The reversal of 1321013200 is 23101231.

It can be written as a sum of positive squares in 6 ways, for example, as 2742336 + 1318270864 = 1656^2 + 36308^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321013201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 121821 + ... + 132220.

Almost surely, 2^1321013200 is an apocalyptic number.

1321013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321013200 is an abundant number, since it is smaller than the sum of its proper divisors (2096867868).

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

1321013200 is a wasteful number, since it uses less digits than its factorization.

1321013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254072 (or 254061 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1321013200 is about 36345.7452805689. The cubic root of 1321013200 is about 1097.2419056757.

Adding to 1321013200 its reverse (23101231), we get a palindrome (1344114431).

The spelling of 1321013200 in words is "one billion, three hundred twenty-one million, thirteen thousand, two hundred".