103813372736561 has 2 divisors, whose sum is σ = 103813372736562. Its totient is φ = 103813372736560.

The previous prime is 103813372736537. The next prime is 103813372736693. The reversal of 103813372736561 is 165637273318301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103324378819600 + 488993916961 = 10164860^2 + 699281^2 .

It is a cyclic number.

It is not a de Polignac number, because 103813372736561 - 2³⁰ = 103812298994737 is a prime.

It is a super-2 number, since 2×103813372736561² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103813372736497 and 103813372736506.

It is not a weakly prime, because it can be changed into another prime (103813372736531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51906686368280 + 51906686368281.

It is an arithmetic number, because the mean of its divisors is an integer number (51906686368281).

Almost surely, 2^{103813372736561} is an apocalyptic number.

It is an amenable number.

103813372736561 is a deficient number, since it is larger than the sum of its proper divisors (1).

103813372736561 is an equidigital number, since it uses as much as digits as its factorization.

103813372736561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 103813372736561 in words is "one hundred three trillion, eight hundred thirteen billion, three hundred seventy-two million, seven hundred thirty-six thousand, five hundred sixty-one".