313011210131929 has 2 divisors, whose sum is σ = 313011210131930. Its totient is φ = 313011210131928.

The previous prime is 313011210131923. The next prime is 313011210132013. The reversal of 313011210131929 is 929131012110313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312937939762704 + 73270369225 = 17690052^2 + 270685^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011210131929 - 2¹⁷ = 313011210000857 is a prime.

It is a super-2 number, since 2×313011210131929² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313011210131923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505605065964 + 156505605065965.

It is an arithmetic number, because the mean of its divisors is an integer number (156505605065965).

Almost surely, 2^{313011210131929} is an apocalyptic number.

It is an amenable number.

313011210131929 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011210131929 is an equidigital number, since it uses as much as digits as its factorization.

313011210131929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 313011210131929 in words is "three hundred thirteen trillion, eleven billion, two hundred ten million, one hundred thirty-one thousand, nine hundred twenty-nine".