3413130083 has 32 divisors (see below), whose sum is σ = 3942466560. Its totient is φ = 2926748160.

The previous prime is 3413130073. The next prime is 3413130121. The reversal of 3413130083 is 3800313143.

It is a Cunningham number, because it is equal to 58422²-1.

It is a cyclic number.

It is not a de Polignac number, because 3413130083 - 2¹⁴ = 3413113699 is a prime.

It is a super-3 number, since 3×3413130083³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3413130053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2160788 + ... + 2162366.

It is an arithmetic number, because the mean of its divisors is an integer number (123202080).

Almost surely, 2^3413130083 is an apocalyptic number.

3413130083 is a deficient number, since it is larger than the sum of its proper divisors (529336477).

3413130083 is a wasteful number, since it uses less digits than its factorization.

3413130083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3413130083 is about 58421.9999914416. Note that the first 5 decimals coincide. The cubic root of 3413130083 is about 1505.6277603217.

The spelling of 3413130083 in words is "three billion, four hundred thirteen million, one hundred thirty thousand, eighty-three".