102133112313109 has 2 divisors, whose sum is σ = 102133112313110. Its totient is φ = 102133112313108.

The previous prime is 102133112313053. The next prime is 102133112313143. The reversal of 102133112313109 is 901313211331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95276203468209 + 6856908844900 = 9760953^2 + 2618570^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133112313109 - 2⁴³ = 93337019290901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133112313209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066556156554 + 51066556156555.

It is an arithmetic number, because the mean of its divisors is an integer number (51066556156555).

Almost surely, 2^{102133112313109} is an apocalyptic number.

It is an amenable number.

102133112313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133112313109 is an equidigital number, since it uses as much as digits as its factorization.

102133112313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 102133112313109 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twelve million, three hundred thirteen thousand, one hundred nine".