31133110313329 has 2 divisors, whose sum is σ = 31133110313330. Its totient is φ = 31133110313328.

The previous prime is 31133110313297. The next prime is 31133110313339. The reversal of 31133110313329 is 92331301133113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21341073729600 + 9792036583729 = 4619640^2 + 3129223^2 .

It is a cyclic number.

It is not a de Polignac number, because 31133110313329 - 2⁵ = 31133110313297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31133110313294 and 31133110313303.

It is not a weakly prime, because it can be changed into another prime (31133110313339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566555156664 + 15566555156665.

It is an arithmetic number, because the mean of its divisors is an integer number (15566555156665).

Almost surely, 2^{31133110313329} is an apocalyptic number.

It is an amenable number.

31133110313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133110313329 is an equidigital number, since it uses as much as digits as its factorization.

31133110313329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 31133110313329 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred ten million, three hundred thirteen thousand, three hundred twenty-nine".