102131033 has 2 divisors, whose sum is σ = 102131034. Its totient is φ = 102131032.

The previous prime is 102130999. The next prime is 102131059. The reversal of 102131033 is 330131201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56595529 + 45535504 = 7523^2 + 6748^2 .

It is an emirp because it is prime and its reverse (330131201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102131033 - 2⁶ = 102130969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102130999 and 102131017.

It is not a weakly prime, because it can be changed into another prime (102131083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065516 + 51065517.

It is an arithmetic number, because the mean of its divisors is an integer number (51065517).

Almost surely, 2^102131033 is an apocalyptic number.

It is an amenable number.

102131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131033 is an equidigital number, since it uses as much as digits as its factorization.

102131033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 102131033 is about 10105.9899564565. The cubic root of 102131033 is about 467.4328621404.

Adding to 102131033 its reverse (330131201), we get a palindrome (432262234).

The spelling of 102131033 in words is "one hundred two million, one hundred thirty-one thousand, thirty-three".