102131142403333 has 2 divisors, whose sum is σ = 102131142403334. Its totient is φ = 102131142403332.

The previous prime is 102131142403313. The next prime is 102131142403417. The reversal of 102131142403333 is 333304241131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102006323633124 + 124818770209 = 10099818^2 + 353297^2 .

It is an emirp because it is prime and its reverse (333304241131201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102131142403333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131142403295 and 102131142403304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102131142403313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065571201666 + 51065571201667.

It is an arithmetic number, because the mean of its divisors is an integer number (51065571201667).

Almost surely, 2^{102131142403333} is an apocalyptic number.

It is an amenable number.

102131142403333 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131142403333 is an equidigital number, since it uses as much as digits as its factorization.

102131142403333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 102131142403333 its reverse (333304241131201), we get a palindrome (435435383534534).

The spelling of 102131142403333 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred forty-two million, four hundred three thousand, three hundred thirty-three".