103332211121213 has 2 divisors, whose sum is σ = 103332211121214. Its totient is φ = 103332211121212.

The previous prime is 103332211121177. The next prime is 103332211121219. The reversal of 103332211121213 is 312121112233301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75312318123289 + 28019892997924 = 8678267^2 + 5293382^2 .

It is a cyclic number.

It is not a de Polignac number, because 103332211121213 - 2⁶ = 103332211121149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103332211121219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51666105560606 + 51666105560607.

It is an arithmetic number, because the mean of its divisors is an integer number (51666105560607).

Almost surely, 2^{103332211121213} is an apocalyptic number.

It is an amenable number.

103332211121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

103332211121213 is an equidigital number, since it uses as much as digits as its factorization.

103332211121213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 103332211121213 its reverse (312121112233301), we get a palindrome (415453323354514).

The spelling of 103332211121213 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred thirteen".