1301253320 has 32 divisors (see below), whose sum is σ = 2929073400. Its totient is φ = 520278528.

The previous prime is 1301253311. The next prime is 1301253329. The reversal of 1301253320 is 233521031.

It is an interprime number because it is at equal distance from previous prime (1301253311) and next prime (1301253329).

It can be written as a sum of positive squares in 4 ways, for example, as 689482564 + 611770756 = 26258^2 + 24734^2 .

It is a super-2 number, since 2×1301253320² = 3386520405622044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1301253292 and 1301253301.

It is not an unprimeable number, because it can be changed into a prime (1301253329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113282 + ... + 124238.

Almost surely, 2^1301253320 is an apocalyptic number.

1301253320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301253320 is an abundant number, since it is smaller than the sum of its proper divisors (1627820080).

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

1301253320 is a wasteful number, since it uses less digits than its factorization.

1301253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1301253320 is about 36072.8889888237. Note that the first 3 decimals coincide. The cubic root of 1301253320 is about 1091.7435049024.

Adding to 1301253320 its reverse (233521031), we get a palindrome (1534774351).

The spelling of 1301253320 in words is "one billion, three hundred one million, two hundred fifty-three thousand, three hundred twenty".