31033123013 has 2 divisors, whose sum is σ = 31033123014. Its totient is φ = 31033123012.

The previous prime is 31033123007. The next prime is 31033123049. The reversal of 31033123013 is 31032133013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19995939649 + 11037183364 = 141407^2 + 105058^2 .

It is a cyclic number.

It is not a de Polignac number, because 31033123013 - 2¹⁰ = 31033121989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31033173013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15516561506 + 15516561507.

It is an arithmetic number, because the mean of its divisors is an integer number (15516561507).

Almost surely, 2^31033123013 is an apocalyptic number.

It is an amenable number.

31033123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31033123013 is an equidigital number, since it uses as much as digits as its factorization.

31033123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 31033123013 its reverse (31032133013), we get a palindrome (62065256026).

The spelling of 31033123013 in words is "thirty-one billion, thirty-three million, one hundred twenty-three thousand, thirteen".