103334133400101 has 6 divisors (see below), whose sum is σ = 149260414911270. Its totient is φ = 68889422266728.

The previous prime is 103334133400063. The next prime is 103334133400111. The reversal of 103334133400101 is 101004331433301.

103334133400101 is a `hidden beast` number, since 103 + 3 + 3 + 413 + 3 + 40 + 0 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93173652022500 + 10160481377601 = 9652650^2 + 3187551^2 .

It is not a de Polignac number, because 103334133400101 - 2⁶ = 103334133400037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103334133400111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5740785188886 + ... + 5740785188903.

It is an arithmetic number, because the mean of its divisors is an integer number (24876735818545).

Almost surely, 2^{103334133400101} is an apocalyptic number.

It is an amenable number.

103334133400101 is a deficient number, since it is larger than the sum of its proper divisors (45926281511169).

103334133400101 is a wasteful number, since it uses less digits than its factorization.

103334133400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481570377795 (or 11481570377792 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103334133400101 its reverse (101004331433301), we get a palindrome (204338464833402).

The spelling of 103334133400101 in words is "one hundred three trillion, three hundred thirty-four billion, one hundred thirty-three million, four hundred thousand, one hundred one".