10133232313201 has 2 divisors, whose sum is σ = 10133232313202. Its totient is φ = 10133232313200.

The previous prime is 10133232313147. The next prime is 10133232313231. The reversal of 10133232313201 is 10231323233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6810267903201 + 3322964410000 = 2609649^2 + 1822900^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133232313201 - 2³⁷ = 9995793359729 is a prime.

It is a super-2 number, since 2×10133232313201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10133232313231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066616156600 + 5066616156601.

It is an arithmetic number, because the mean of its divisors is an integer number (5066616156601).

Almost surely, 2^{10133232313201} is an apocalyptic number.

It is an amenable number.

10133232313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133232313201 is an equidigital number, since it uses as much as digits as its factorization.

10133232313201 is an evil number, because the sum of its binary digits is even.

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

Adding to 10133232313201 its reverse (10231323233101), we get a palindrome (20364555546302).

The spelling of 10133232313201 in words is "ten trillion, one hundred thirty-three billion, two hundred thirty-two million, three hundred thirteen thousand, two hundred one".