10402024132133 has 2 divisors, whose sum is σ = 10402024132134. Its totient is φ = 10402024132132.

The previous prime is 10402024132121. The next prime is 10402024132217. The reversal of 10402024132133 is 33123142020401.

10402024132133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10009674733249 + 392349398884 = 3163807^2 + 626378^2 .

It is a cyclic number.

It is not a de Polignac number, because 10402024132133 - 2⁴ = 10402024132117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10402024132033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5201012066066 + 5201012066067.

It is an arithmetic number, because the mean of its divisors is an integer number (5201012066067).

Almost surely, 2^{10402024132133} is an apocalyptic number.

It is an amenable number.

10402024132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402024132133 is an equidigital number, since it uses as much as digits as its factorization.

10402024132133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10402024132133 its reverse (33123142020401), we get a palindrome (43525166152534).

The spelling of 10402024132133 in words is "ten trillion, four hundred two billion, twenty-four million, one hundred thirty-two thousand, one hundred thirty-three".