103233312232001 has 24 divisors (see below), whose sum is σ = 127434903841800. Its totient is φ = 83095174643712.

The previous prime is 103233312231991. The next prime is 103233312232051. The reversal of 103233312232001 is 100232213332301.

It can be written as a sum of positive squares in 4 ways, for example, as 6541194995776 + 96692117236225 = 2557576^2 + 9833215^2 .

It is not a de Polignac number, because 103233312232001 - 2²² = 103233308037697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103233312232051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137632160 + ... + 138380193.

It is an arithmetic number, because the mean of its divisors is an integer number (5309787660075).

Almost surely, 2^{103233312232001} is an apocalyptic number.

It is an amenable number.

103233312232001 is a deficient number, since it is larger than the sum of its proper divisors (24201591609799).

103233312232001 is a wasteful number, since it uses less digits than its factorization.

103233312232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276012833 (or 276012826 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 103233312232001 its reverse (100232213332301), we get a palindrome (203465525564302).

The spelling of 103233312232001 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred twelve million, two hundred thirty-two thousand, one".