1331123313 has 16 divisors (see below), whose sum is σ = 1916585216. Its totient is φ = 816912000.

The previous prime is 1331123309. The next prime is 1331123317. The reversal of 1331123313 is 3133211331.

It is an interprime number because it is at equal distance from previous prime (1331123309) and next prime (1331123317).

It is not a de Polignac number, because 1331123313 - 2² = 1331123309 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331123313.

It is not an unprimeable number, because it can be changed into a prime (1331123317) 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 15 ways as a sum of consecutive naturals, for example, 32188 + ... + 60813.

It is an arithmetic number, because the mean of its divisors is an integer number (119786576).

Almost surely, 2^1331123313 is an apocalyptic number.

1331123313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331123313 is a deficient number, since it is larger than the sum of its proper divisors (585461903).

1331123313 is a wasteful number, since it uses less digits than its factorization.

1331123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93384.

The product of its digits is 486, while the sum is 21.

The square root of 1331123313 is about 36484.5626669692. The cubic root of 1331123313 is about 1100.0339694744.

Adding to 1331123313 its reverse (3133211331), we get a palindrome (4464334644).

The spelling of 1331123313 in words is "one billion, three hundred thirty-one million, one hundred twenty-three thousand, three hundred thirteen".