1301321120 has 72 divisors (see below), whose sum is σ = 3379317732. Its totient is φ = 473200640.

The previous prime is 1301321111. The next prime is 1301321129. The reversal of 1301321120 is 211231031.

It is an interprime number because it is at equal distance from previous prime (1301321111) and next prime (1301321129).

It can be written as a sum of positive squares in 2 ways, for example, as 1267075216 + 34245904 = 35596^2 + 5852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1301321095 and 1301321104.

It is not an unprimeable number, because it can be changed into a prime (1301321129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14249 + ... + 52968.

Almost surely, 2^1301321120 is an apocalyptic number.

1301321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301321120 is an abundant number, since it is smaller than the sum of its proper divisors (2077996612).

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

1301321120 is a wasteful number, since it uses less digits than its factorization.

1301321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67254 (or 67235 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1301321120 is about 36073.8287405149. The cubic root of 1301321120 is about 1091.7624658336.

Adding to 1301321120 its reverse (211231031), we get a palindrome (1512552151).

The spelling of 1301321120 in words is "one billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty".