102131123011331 has 2 divisors, whose sum is σ = 102131123011332. Its totient is φ = 102131123011330.

The previous prime is 102131123011319. The next prime is 102131123011339. The reversal of 102131123011331 is 133110321131201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102131123011331 - 2²⁶ = 102131055902467 is a prime.

It is a super-3 number, since 3×102131123011331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102131123011297 and 102131123011306.

It is not a weakly prime, because it can be changed into another prime (102131123011339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065561505665 + 51065561505666.

It is an arithmetic number, because the mean of its divisors is an integer number (51065561505666).

Almost surely, 2^{102131123011331} is an apocalyptic number.

102131123011331 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131123011331 is an equidigital number, since it uses as much as digits as its factorization.

102131123011331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 102131123011331 its reverse (133110321131201), we get a palindrome (235241444142532).

The spelling of 102131123011331 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred twenty-three million, eleven thousand, three hundred thirty-one".