31123300133 has 2 divisors, whose sum is σ = 31123300134. Its totient is φ = 31123300132.

The previous prime is 31123300129. The next prime is 31123300181. The reversal of 31123300133 is 33100332113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29650429249 + 1472870884 = 172193^2 + 38378^2 .

It is an emirp because it is prime and its reverse (33100332113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31123300133 - 2² = 31123300129 is a prime.

It is a super-2 number, since 2×31123300133² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123300193) 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 as a sum of consecutive naturals, namely, 15561650066 + 15561650067.

It is an arithmetic number, because the mean of its divisors is an integer number (15561650067).

Almost surely, 2^31123300133 is an apocalyptic number.

It is an amenable number.

31123300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123300133 is an equidigital number, since it uses as much as digits as its factorization.

31123300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 31123300133 its reverse (33100332113), we get a palindrome (64223632246).

The spelling of 31123300133 in words is "thirty-one billion, one hundred twenty-three million, three hundred thousand, one hundred thirty-three".