1333290105 has 64 divisors (see below), whose sum is σ = 2826731520. Its totient is φ = 582994368.

The previous prime is 1333290089. The next prime is 1333290131. The reversal of 1333290105 is 5010923331.

It is a happy number.

It is not a de Polignac number, because 1333290105 - 2⁴ = 1333290089 is a prime.

It is a super-2 number, since 2×1333290105² = 3555325008181822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Together with 1493441415 it forms an amicable pair .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8937 + ... + 52406.

It is an arithmetic number, because the mean of its divisors is an integer number (44167680).

Almost surely, 2^1333290105 is an apocalyptic number.

1333290105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1333290105 is an abundant number, since it is smaller than the sum of its proper divisors (1493441415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1333290105 is a wasteful number, since it uses less digits than its factorization.

1333290105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61387 (or 61381 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1333290105 is about 36514.2452338810. The cubic root of 1333290105 is about 1100.6305214353.

The spelling of 1333290105 in words is "one billion, three hundred thirty-three million, two hundred ninety thousand, one hundred five".