103021121302013 has 2 divisors, whose sum is σ = 103021121302014. Its totient is φ = 103021121302012.

The previous prime is 103021121301979. The next prime is 103021121302027. The reversal of 103021121302013 is 310203121120301.

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., 61035671876089 + 41985449425924 = 7812533^2 + 6479618^2 .

It is a cyclic number.

It is not a de Polignac number, because 103021121302013 - 2³⁴ = 103003941432829 is a prime.

It is a super-2 number, since 2×103021121302013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103021121305013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51510560651006 + 51510560651007.

It is an arithmetic number, because the mean of its divisors is an integer number (51510560651007).

Almost surely, 2^{103021121302013} is an apocalyptic number.

It is an amenable number.

103021121302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103021121302013 is an equidigital number, since it uses as much as digits as its factorization.

103021121302013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103021121302013 its reverse (310203121120301), we get a palindrome (413224242422314).

The spelling of 103021121302013 in words is "one hundred three trillion, twenty-one billion, one hundred twenty-one million, three hundred two thousand, thirteen".