103311101333313 has 40 divisors (see below), whose sum is σ = 155510613899520. Its totient is φ = 68346728480160.

The previous prime is 103311101333303. The next prime is 103311101333381. The reversal of 103311101333313 is 313333101113301.

103311101333313 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 1 + 10 + 1 + 333 + 313 = 666.

It is not a de Polignac number, because 103311101333313 - 2⁴⁵ = 68126729244481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103311101333303) 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 in 39 ways as a sum of consecutive naturals, for example, 617550843 + ... + 617718111.

It is an arithmetic number, because the mean of its divisors is an integer number (3887765347488).

Almost surely, 2^{103311101333313} is an apocalyptic number.

It is an amenable number.

103311101333313 is a deficient number, since it is larger than the sum of its proper divisors (52199512566207).

103311101333313 is a wasteful number, since it uses less digits than its factorization.

103311101333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225619 (or 225610 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 103311101333313 its reverse (313333101113301), we get a palindrome (416644202446614).

The spelling of 103311101333313 in words is "one hundred three trillion, three hundred eleven billion, one hundred one million, three hundred thirty-three thousand, three hundred thirteen".