103313012310953 has 2 divisors, whose sum is σ = 103313012310954. Its totient is φ = 103313012310952.

The previous prime is 103313012310931. The next prime is 103313012311031. The reversal of 103313012310953 is 359013210313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72411454098064 + 30901558212889 = 8509492^2 + 5558917^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313012310953 - 2⁴⁶ = 32944268133289 is a prime.

It is a super-2 number, since 2×103313012310953² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103313012310553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656506155476 + 51656506155477.

It is an arithmetic number, because the mean of its divisors is an integer number (51656506155477).

Almost surely, 2^{103313012310953} is an apocalyptic number.

It is an amenable number.

103313012310953 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313012310953 is an equidigital number, since it uses as much as digits as its factorization.

103313012310953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21870, while the sum is 35.

The spelling of 103313012310953 in words is "one hundred three trillion, three hundred thirteen billion, twelve million, three hundred ten thousand, nine hundred fifty-three".