313133000414229 has 48 divisors (see below), whose sum is σ = 459109631588400. Its totient is φ = 205632934391808.

The previous prime is 313133000414177. The next prime is 313133000414239. The reversal of 313133000414229 is 922414000331313.

313133000414229 is a `hidden beast` number, since 3 + 1 + 3 + 13 + 3 + 0 + 0 + 0 + 414 + 229 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39452556390129 + 273680444024100 = 6281127^2 + 16543290^2 .

It is not a de Polignac number, because 313133000414229 - 2¹¹ = 313133000412181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313133000414193 and 313133000414202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313133000414239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247368697 + ... + 248631329.

It is an arithmetic number, because the mean of its divisors is an integer number (9564783991425).

Almost surely, 2^{313133000414229} is an apocalyptic number.

It is an amenable number.

313133000414229 is a deficient number, since it is larger than the sum of its proper divisors (145976631174171).

313133000414229 is a wasteful number, since it uses less digits than its factorization.

313133000414229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263894 (or 1263891 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 313133000414229 in words is "three hundred thirteen trillion, one hundred thirty-three billion, four hundred fourteen thousand, two hundred twenty-nine".