31003032013 has 32 divisors (see below), whose sum is σ = 33812951040. Its totient is φ = 28331841600.

The previous prime is 31003031987. The next prime is 31003032019. The reversal of 31003032013 is 31023030013.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31003032013 is a prime.

It is a super-2 number, since 2×31003032013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003032019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23720106 + ... + 23721412.

It is an arithmetic number, because the mean of its divisors is an integer number (1056654720).

Almost surely, 2^31003032013 is an apocalyptic number.

It is an amenable number.

31003032013 is a deficient number, since it is larger than the sum of its proper divisors (2809919027).

31003032013 is a wasteful number, since it uses less digits than its factorization.

31003032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31003032013 its reverse (31023030013), we get a palindrome (62026062026).

The spelling of 31003032013 in words is "thirty-one billion, three million, thirty-two thousand, thirteen".