102131203313033 has 2 divisors, whose sum is σ = 102131203313034. Its totient is φ = 102131203313032.

The previous prime is 102131203312967. The next prime is 102131203313039. The reversal of 102131203313033 is 330313302131201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87789554073664 + 14341649239369 = 9369608^2 + 3787037^2 .

It is an emirp because it is prime and its reverse (330313302131201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102131203313033 - 2¹⁰ = 102131203312009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131203312993 and 102131203313011.

It is not a weakly prime, because it can be changed into another prime (102131203313039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065601656516 + 51065601656517.

It is an arithmetic number, because the mean of its divisors is an integer number (51065601656517).

Almost surely, 2^{102131203313033} is an apocalyptic number.

It is an amenable number.

102131203313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131203313033 is an equidigital number, since it uses as much as digits as its factorization.

102131203313033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 102131203313033 its reverse (330313302131201), we get a palindrome (432444505444234).

The spelling of 102131203313033 in words is "one hundred two trillion, one hundred thirty-one billion, two hundred three million, three hundred thirteen thousand, thirty-three".