10132300033133 has 2 divisors, whose sum is σ = 10132300033134. Its totient is φ = 10132300033132.

The previous prime is 10132300033099. The next prime is 10132300033151. The reversal of 10132300033133 is 33133000323101.

10132300033133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6366068933449 + 3766231099684 = 2523107^2 + 1940678^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132300033133 - 2⁶ = 10132300033069 is a prime.

It is a super-2 number, since 2×10132300033133² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10132300033099 and 10132300033108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132300030133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066150016566 + 5066150016567.

It is an arithmetic number, because the mean of its divisors is an integer number (5066150016567).

Almost surely, 2^{10132300033133} is an apocalyptic number.

It is an amenable number.

10132300033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132300033133 is an equidigital number, since it uses as much as digits as its factorization.

10132300033133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10132300033133 its reverse (33133000323101), we get a palindrome (43265300356234).

The spelling of 10132300033133 in words is "ten trillion, one hundred thirty-two billion, three hundred million, thirty-three thousand, one hundred thirty-three".