125233312311333 has 6 divisors (see below), whose sum is σ = 180892562227494. Its totient is φ = 83488874874216.

The previous prime is 125233312311323. The next prime is 125233312311389. The reversal of 125233312311333 is 333113213332521.

125233312311333 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 3 + 3 + 1 + 2 + 311 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88455661477569 + 36777650833764 = 9405087^2 + 6064458^2 .

It is not a de Polignac number, because 125233312311333 - 2⁸ = 125233312311077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125233312311323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6957406239510 + ... + 6957406239527.

It is an arithmetic number, because the mean of its divisors is an integer number (30148760371249).

Almost surely, 2^{125233312311333} is an apocalyptic number.

It is an amenable number.

125233312311333 is a deficient number, since it is larger than the sum of its proper divisors (55659249916161).

125233312311333 is a wasteful number, since it uses less digits than its factorization.

125233312311333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914812479043 (or 13914812479040 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

Adding to 125233312311333 its reverse (333113213332521), we get a palindrome (458346525643854).

The spelling of 125233312311333 in words is "one hundred twenty-five trillion, two hundred thirty-three billion, three hundred twelve million, three hundred eleven thousand, three hundred thirty-three".