1312013241 has 64 divisors (see below), whose sum is σ = 2430720000. Its totient is φ = 679492800.

The previous prime is 1312013221. The next prime is 1312013249. The reversal of 1312013241 is 1423102131.

It is not a de Polignac number, because 1312013241 - 2⁶ = 1312013177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312013249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 874510 + ... + 876008.

It is an arithmetic number, because the mean of its divisors is an integer number (37980000).

Almost surely, 2^1312013241 is an apocalyptic number.

1312013241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312013241 is a deficient number, since it is larger than the sum of its proper divisors (1118706759).

1312013241 is a wasteful number, since it uses less digits than its factorization.

1312013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1312013241 is about 36221.7233300681. The cubic root of 1312013241 is about 1094.7444177375.

Adding to 1312013241 its reverse (1423102131), we get a palindrome (2735115372).

The spelling of 1312013241 in words is "one billion, three hundred twelve million, thirteen thousand, two hundred forty-one".