31041002313 has 24 divisors (see below), whose sum is σ = 44953763400. Its totient is φ = 20640178944.

The previous prime is 31041002299. The next prime is 31041002327. The reversal of 31041002313 is 31320014013.

31041002313 is a `hidden beast` number, since 310 + 41 + 0 + 0 + 2 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (31041002299) and next prime (31041002327).

It can be written as a sum of positive squares in 4 ways, for example, as 774397584 + 30266604729 = 27828^2 + 173973^2 .

It is not a de Polignac number, because 31041002313 - 2⁹ = 31041001801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31041002353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11373133 + ... + 11375861.

It is an arithmetic number, because the mean of its divisors is an integer number (1873073475).

Almost surely, 2^31041002313 is an apocalyptic number.

It is an amenable number.

31041002313 is a deficient number, since it is larger than the sum of its proper divisors (13912761087).

31041002313 is a wasteful number, since it uses less digits than its factorization.

31041002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31041002313 its reverse (31320014013), we get a palindrome (62361016326).

The spelling of 31041002313 in words is "thirty-one billion, forty-one million, two thousand, three hundred thirteen".