31133200013 has 2 divisors, whose sum is σ = 31133200014. Its totient is φ = 31133200012.

The previous prime is 31133199997. The next prime is 31133200027. The reversal of 31133200013 is 31000233113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27569945764 + 3563254249 = 166042^2 + 59693^2 .

It is a cyclic number.

It is not a de Polignac number, because 31133200013 - 2⁴ = 31133199997 is a prime.

It is a super-2 number, since 2×31133200013² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31133199964 and 31133200000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31133205013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566600006 + 15566600007.

It is an arithmetic number, because the mean of its divisors is an integer number (15566600007).

Almost surely, 2^31133200013 is an apocalyptic number.

It is an amenable number.

31133200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133200013 is an equidigital number, since it uses as much as digits as its factorization.

31133200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31133200013 its reverse (31000233113), we get a palindrome (62133433126).

The spelling of 31133200013 in words is "thirty-one billion, one hundred thirty-three million, two hundred thousand, thirteen".