103311141113301 has 48 divisors (see below), whose sum is σ = 151643268020160. Its totient is φ = 62516051769600.

The previous prime is 103311141113291. The next prime is 103311141113321.

103311141113301 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-103311141113301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311141113321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978151971 + ... + 978257583.

It is an arithmetic number, because the mean of its divisors is an integer number (3159234750420).

Almost surely, 2^{103311141113301} is an apocalyptic number.

103311141113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103311141113301 is a deficient number, since it is larger than the sum of its proper divisors (48332126906859).

103311141113301 is a wasteful number, since it uses less digits than its factorization.

103311141113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109778 (or 109767 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 103311141113301 in words is "one hundred three trillion, three hundred eleven billion, one hundred forty-one million, one hundred thirteen thousand, three hundred one".