102131333142233 has 2 divisors, whose sum is σ = 102131333142234. Its totient is φ = 102131333142232.

The previous prime is 102131333142089. The next prime is 102131333142247. The reversal of 102131333142233 is 332241333131201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80678623408384 + 21452709733849 = 8982128^2 + 4631707^2 .

It is a cyclic number.

It is not a de Polignac number, because 102131333142233 - 2²² = 102131328947929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102131333142233.

It is not a weakly prime, because it can be changed into another prime (102131333132233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065666571116 + 51065666571117.

It is an arithmetic number, because the mean of its divisors is an integer number (51065666571117).

Almost surely, 2^{102131333142233} is an apocalyptic number.

It is an amenable number.

102131333142233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131333142233 is an equidigital number, since it uses as much as digits as its factorization.

102131333142233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 102131333142233 its reverse (332241333131201), we get a palindrome (434372666273434).

The spelling of 102131333142233 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred thirty-three million, one hundred forty-two thousand, two hundred thirty-three".