133105335 has 32 divisors (see below), whose sum is σ = 233722368. Its totient is φ = 64149120.

The previous prime is 133105321. The next prime is 133105367. The reversal of 133105335 is 533501331.

It is not a de Polignac number, because 133105335 - 2⁴ = 133105319 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26214 + ... + 30876.

It is an arithmetic number, because the mean of its divisors is an integer number (7303824).

Almost surely, 2^133105335 is an apocalyptic number.

133105335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133105335 is a deficient number, since it is larger than the sum of its proper divisors (100617033).

133105335 is a wasteful number, since it uses less digits than its factorization.

133105335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855.

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 133105335 is about 11537.1285422327. The cubic root of 133105335 is about 510.5815933353.

Adding to 133105335 its reverse (533501331), we get a palindrome (666606666).

The spelling of 133105335 in words is "one hundred thirty-three million, one hundred five thousand, three hundred thirty-five".