1311523201 has 8 divisors (see below), whose sum is σ = 1353956264. Its totient is φ = 1269457920.

The previous prime is 1311523189. The next prime is 1311523217. The reversal of 1311523201 is 1023251131.

It can be written as a sum of positive squares in 4 ways, for example, as 500640625 + 810882576 = 22375^2 + 28476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1311523201 - 2¹⁷ = 1311392129 is a prime.

It is a super-2 number, since 2×1311523201² = 3440186213522572802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311523501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84690 + ... + 98971.

It is an arithmetic number, because the mean of its divisors is an integer number (169244533).

Almost surely, 2^1311523201 is an apocalyptic number.

It is an amenable number.

1311523201 is a deficient number, since it is larger than the sum of its proper divisors (42433063).

1311523201 is a wasteful number, since it uses less digits than its factorization.

1311523201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183891.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1311523201 is about 36214.9582493201. The cubic root of 1311523201 is about 1094.6081042353.

Adding to 1311523201 its reverse (1023251131), we get a palindrome (2334774332).

The spelling of 1311523201 in words is "one billion, three hundred eleven million, five hundred twenty-three thousand, two hundred one".