153413303458133 has 2 divisors, whose sum is σ = 153413303458134. Its totient is φ = 153413303458132.

The previous prime is 153413303458117. The next prime is 153413303458139. The reversal of 153413303458133 is 331854303314351.

It is a happy number.

153413303458133 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., 100405249738564 + 53008053719569 = 10020242^2 + 7280663^2 .

It is a cyclic number.

It is not a de Polignac number, because 153413303458133 - 2⁴ = 153413303458117 is a prime.

It is a super-3 number, since 3×153413303458133³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153413303458139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76706651729066 + 76706651729067.

It is an arithmetic number, because the mean of its divisors is an integer number (76706651729067).

Almost surely, 2^{153413303458133} is an apocalyptic number.

It is an amenable number.

153413303458133 is a deficient number, since it is larger than the sum of its proper divisors (1).

153413303458133 is an equidigital number, since it uses as much as digits as its factorization.

153413303458133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2332800, while the sum is 47.

The spelling of 153413303458133 in words is "one hundred fifty-three trillion, four hundred thirteen billion, three hundred three million, four hundred fifty-eight thousand, one hundred thirty-three".