10345505433201 has 12 divisors (see below), whose sum is σ = 14944654607428. Its totient is φ = 6896474348544.

The previous prime is 10345505433191. The next prime is 10345505433217. The reversal of 10345505433201 is 10233450554301.

10345505433201 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 550 + 54 + 33 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5559032217600 + 4786473215601 = 2357760^2 + 2187801^2 .

It is not a de Polignac number, because 10345505433201 - 2¹³ = 10345505425009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10345505432201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43982320 + ... + 44216913.

Almost surely, 2^{10345505433201} is an apocalyptic number.

It is an amenable number.

10345505433201 is a deficient number, since it is larger than the sum of its proper divisors (4599149174227).

10345505433201 is a wasteful number, since it uses less digits than its factorization.

10345505433201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88212272 (or 88212269 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 10345505433201 its reverse (10233450554301), we get a palindrome (20578955987502).

The spelling of 10345505433201 in words is "ten trillion, three hundred forty-five billion, five hundred five million, four hundred thirty-three thousand, two hundred one".