133505106010 has 16 divisors (see below), whose sum is σ = 254445025896. Its totient is φ = 50260745728.

The previous prime is 133505105983. The next prime is 133505106011. The reversal of 133505106010 is 10601505331.

133505106010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133181933481 + 323172529 = 364941^2 + 17977^2 .

It is a super-2 number, since 2×133505106010² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133505106011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392661907 + ... + 392662246.

Almost surely, 2^133505106010 is an apocalyptic number.

133505106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133505106010 is a deficient number, since it is larger than the sum of its proper divisors (120939919886).

133505106010 is a wasteful number, since it uses less digits than its factorization.

133505106010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785324177.

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 133505106010 in words is "one hundred thirty-three billion, five hundred five million, one hundred six thousand, ten".