1231313013 has 72 divisors (see below), whose sum is σ = 2128744800. Its totient is φ = 683557056.

The previous prime is 1231312997. The next prime is 1231313029. The reversal of 1231313013 is 3103131321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1231312997) and next prime (1231313029).

It is not a de Polignac number, because 1231313013 - 2⁴ = 1231312997 is a prime.

It is a super-2 number, since 2×1231313013² = 3032263471966276338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231313033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3248658 + ... + 3249036.

It is an arithmetic number, because the mean of its divisors is an integer number (29565900).

Almost surely, 2^1231313013 is an apocalyptic number.

It is an amenable number.

1231313013 is a deficient number, since it is larger than the sum of its proper divisors (897431787).

1231313013 is a wasteful number, since it uses less digits than its factorization.

1231313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1231313013 is about 35090.0700056298. The cubic root of 1231313013 is about 1071.8223851447.

Adding to 1231313013 its reverse (3103131321), we get a palindrome (4334444334).

The spelling of 1231313013 in words is "one billion, two hundred thirty-one million, three hundred thirteen thousand, thirteen".