29233152000113 has 2 divisors, whose sum is σ = 29233152000114. Its totient is φ = 29233152000112.

The previous prime is 29233151999983. The next prime is 29233152000179. The reversal of 29233152000113 is 31100025133292.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22868748208384 + 6364403791729 = 4782128^2 + 2522777^2 .

It is a cyclic number.

It is not a de Polignac number, because 29233152000113 - 2³⁰ = 29232078258289 is a prime.

It is a super-3 number, since 3×29233152000113³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29233152000113.

It is not a weakly prime, because it can be changed into another prime (29233152300113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14616576000056 + 14616576000057.

It is an arithmetic number, because the mean of its divisors is an integer number (14616576000057).

Almost surely, 2^{29233152000113} is an apocalyptic number.

It is an amenable number.

29233152000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

29233152000113 is an equidigital number, since it uses as much as digits as its factorization.

29233152000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 29233152000113 in words is "twenty-nine trillion, two hundred thirty-three billion, one hundred fifty-two million, one hundred thirteen", and thus it is an aban number.