2300404313133 has 6 divisors (see below), whose sum is σ = 3322806230094. Its totient is φ = 1533602875416.

The previous prime is 2300404313117. The next prime is 2300404313149. The reversal of 2300404313133 is 3313134040032.

2300404313133 is a `hidden beast` number, since 2 + 300 + 4 + 0 + 43 + 1 + 313 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2300404313117) and next prime (2300404313149).

It can be written as a sum of positive squares in only one way, i.e., 1664107740009 + 636296573124 = 1290003^2 + 797682^2 .

It is not a de Polignac number, because 2300404313133 - 2⁴ = 2300404313117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2300404313097 and 2300404313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300404313153) 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 in 5 ways as a sum of consecutive naturals, for example, 127800239610 + ... + 127800239627.

It is an arithmetic number, because the mean of its divisors is an integer number (553801038349).

Almost surely, 2^{2300404313133} is an apocalyptic number.

It is an amenable number.

2300404313133 is a deficient number, since it is larger than the sum of its proper divisors (1022401916961).

2300404313133 is a wasteful number, since it uses less digits than its factorization.

2300404313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255600479243 (or 255600479240 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2300404313133 its reverse (3313134040032), we get a palindrome (5613538353165).

The spelling of 2300404313133 in words is "two trillion, three hundred billion, four hundred four million, three hundred thirteen thousand, one hundred thirty-three".