103313310372101 has 2 divisors, whose sum is σ = 103313310372102. Its totient is φ = 103313310372100.

The previous prime is 103313310372037. The next prime is 103313310372131. The reversal of 103313310372101 is 101273013313301.

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., 101526078280225 + 1787232091876 = 10076015^2 + 1336874^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313310372101 - 2⁶ = 103313310372037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103313310372131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656655186050 + 51656655186051.

It is an arithmetic number, because the mean of its divisors is an integer number (51656655186051).

Almost surely, 2^{103313310372101} is an apocalyptic number.

It is an amenable number.

103313310372101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313310372101 is an equidigital number, since it uses as much as digits as its factorization.

103313310372101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 103313310372101 its reverse (101273013313301), we get a palindrome (204586323685402).

The spelling of 103313310372101 in words is "one hundred three trillion, three hundred thirteen billion, three hundred ten million, three hundred seventy-two thousand, one hundred one".