10133345052135 has 48 divisors (see below), whose sum is σ = 18346043963520. Its totient is φ = 5365569664800.

The previous prime is 10133345052133. The next prime is 10133345052143. The reversal of 10133345052135 is 53125054333101.

10133345052135 is a `hidden beast` number, since 1 + 0 + 13 + 3 + 3 + 4 + 505 + 2 + 135 = 666.

It is not a de Polignac number, because 10133345052135 - 2¹ = 10133345052133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10133345052135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133345052133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29831841 + ... + 30169610.

It is an arithmetic number, because the mean of its divisors is an integer number (382209249240).

Almost surely, 2^{10133345052135} is an apocalyptic number.

10133345052135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10133345052135 is a deficient number, since it is larger than the sum of its proper divisors (8212698911385).

10133345052135 is an equidigital number, since it uses as much as digits as its factorization.

10133345052135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60001610 (or 60001598 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 10133345052135 its reverse (53125054333101), we get a palindrome (63258399385236).

The spelling of 10133345052135 in words is "ten trillion, one hundred thirty-three billion, three hundred forty-five million, fifty-two thousand, one hundred thirty-five".