402135541242133 has 2 divisors, whose sum is σ = 402135541242134. Its totient is φ = 402135541242132.

The previous prime is 402135541242101. The next prime is 402135541242163. The reversal of 402135541242133 is 331242145531204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323611964251524 + 78523576990609 = 17989218^2 + 8861353^2 .

It is a cyclic number.

It is not a de Polignac number, because 402135541242133 - 2⁵ = 402135541242101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402135541242163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201067770621066 + 201067770621067.

It is an arithmetic number, because the mean of its divisors is an integer number (201067770621067).

Almost surely, 2^{402135541242133} is an apocalyptic number.

It is an amenable number.

402135541242133 is a deficient number, since it is larger than the sum of its proper divisors (1).

402135541242133 is an equidigital number, since it uses as much as digits as its factorization.

402135541242133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 402135541242133 its reverse (331242145531204), we get a palindrome (733377686773337).

The spelling of 402135541242133 in words is "four hundred two trillion, one hundred thirty-five billion, five hundred forty-one million, two hundred forty-two thousand, one hundred thirty-three".