31004110013 has 2 divisors, whose sum is σ = 31004110014. Its totient is φ = 31004110012.

The previous prime is 31004109979. The next prime is 31004110091. The reversal of 31004110013 is 31001140013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27882988324 + 3121121689 = 166982^2 + 55867^2 .

It is a cyclic number.

It is not a de Polignac number, because 31004110013 - 2²⁰ = 31003061437 is a prime.

It is a super-2 number, since 2×31004110013² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31004110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31004110513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15502055006 + 15502055007.

It is an arithmetic number, because the mean of its divisors is an integer number (15502055007).

Almost surely, 2^31004110013 is an apocalyptic number.

It is an amenable number.

31004110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31004110013 is an equidigital number, since it uses as much as digits as its factorization.

31004110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31004110013 its reverse (31001140013), we get a palindrome (62005250026).

The spelling of 31004110013 in words is "thirty-one billion, four million, one hundred ten thousand, thirteen".