31133300011031 has 2 divisors, whose sum is σ = 31133300011032. Its totient is φ = 31133300011030.

The previous prime is 31133300010983. The next prime is 31133300011049. The reversal of 31133300011031 is 13011000333113.

It is a strong prime.

It is an emirp because it is prime and its reverse (13011000333113) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31133300011031 is a prime.

It is a super-2 number, since 2×31133300011031² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31133300010994 and 31133300011012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31133300011081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566650005515 + 15566650005516.

It is an arithmetic number, because the mean of its divisors is an integer number (15566650005516).

Almost surely, 2^{31133300011031} is an apocalyptic number.

31133300011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133300011031 is an equidigital number, since it uses as much as digits as its factorization.

31133300011031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 31133300011031 its reverse (13011000333113), we get a palindrome (44144300344144).

The spelling of 31133300011031 in words is "thirty-one trillion, one hundred thirty-three billion, three hundred million, eleven thousand, thirty-one".