103113010001 has 8 divisors (see below), whose sum is σ = 103396696104. Its totient is φ = 102829668480.

The previous prime is 103113009977. The next prime is 103113010031. The reversal of 103113010001 is 100010311301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17731585600 + 85381424401 = 133160^2 + 292201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103113010001 - 2¹⁴ = 103112993617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103113010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518981 + ... + 689613.

It is an arithmetic number, because the mean of its divisors is an integer number (12924587013).

Almost surely, 2^103113010001 is an apocalyptic number.

It is an amenable number.

103113010001 is a deficient number, since it is larger than the sum of its proper divisors (283686103).

103113010001 is a wasteful number, since it uses less digits than its factorization.

103113010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172291.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 103113010001 its reverse (100010311301), we get a palindrome (203123321302).

The spelling of 103113010001 in words is "one hundred three billion, one hundred thirteen million, ten thousand, one".