103132021333201 has 24 divisors (see below), whose sum is σ = 120668678193960. Its totient is φ = 87884032948992.

The previous prime is 103132021333163. The next prime is 103132021333241. The reversal of 103132021333201 is 102333120231301.

It can be written as a sum of positive squares in 4 ways, for example, as 17392736611600 + 85739284721601 = 4170460^2 + 9259551^2 .

It is not a de Polignac number, because 103132021333201 - 2²⁵ = 103131987778769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103132021333241) 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, 201403645 + ... + 201915061.

It is an arithmetic number, because the mean of its divisors is an integer number (5027861591415).

Almost surely, 2^{103132021333201} is an apocalyptic number.

It is an amenable number.

103132021333201 is a deficient number, since it is larger than the sum of its proper divisors (17536656860759).

103132021333201 is a wasteful number, since it uses less digits than its factorization.

103132021333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535393 (or 535386 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 103132021333201 its reverse (102333120231301), we get a palindrome (205465141564502).

The spelling of 103132021333201 in words is "one hundred three trillion, one hundred thirty-two billion, twenty-one million, three hundred thirty-three thousand, two hundred one".