133301300031 has 48 divisors (see below), whose sum is σ = 217263181824. Its totient is φ = 78301208832.

The previous prime is 133301300017. The next prime is 133301300053. The reversal of 133301300031 is 130003103331.

133301300031 is a `hidden beast` number, since 1 + 3 + 330 + 1 + 300 + 0 + 31 = 666.

It is not a de Polignac number, because 133301300031 - 2⁹ = 133301299519 is a prime.

It is a super-2 number, since 2×133301300031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133301299977 and 133301300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133301305031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237591 + ... + 568376.

It is an arithmetic number, because the mean of its divisors is an integer number (4526316288).

Almost surely, 2^133301300031 is an apocalyptic number.

133301300031 is a deficient number, since it is larger than the sum of its proper divisors (83961881793).

133301300031 is a wasteful number, since it uses less digits than its factorization.

133301300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806060 (or 806057 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133301300031 its reverse (130003103331), we get a palindrome (263304403362).

It can be divided in two parts, 133 and 301300031, that added together give a square (301300164 = 17358²).

The spelling of 133301300031 in words is "one hundred thirty-three billion, three hundred one million, three hundred thousand, thirty-one".