103133212133009 has 16 divisors (see below), whose sum is σ = 105645707207040. Its totient is φ = 100649567969280.

The previous prime is 103133212132969. The next prime is 103133212133023. The reversal of 103133212133009 is 900331212331301.

It is a cyclic number.

It is not a de Polignac number, because 103133212133009 - 2²⁰ = 103133211084433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103133212133059) 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 15 ways as a sum of consecutive naturals, for example, 59253137 + ... + 60968849.

It is an arithmetic number, because the mean of its divisors is an integer number (6602856700440).

Almost surely, 2^{103133212133009} is an apocalyptic number.

It is an amenable number.

103133212133009 is a deficient number, since it is larger than the sum of its proper divisors (2512495074031).

103133212133009 is a wasteful number, since it uses less digits than its factorization.

103133212133009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724120.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 103133212133009 in words is "one hundred three trillion, one hundred thirty-three billion, two hundred twelve million, one hundred thirty-three thousand, nine".