2013100993 has 8 divisors (see below), whose sum is σ = 2042689536. Its totient is φ = 1983702000.

The previous prime is 2013100981. The next prime is 2013100997. The reversal of 2013100993 is 3990013102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013100993 - 2²⁵ = 1979546561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013100997) 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, 25921 + ... + 68542.

It is an arithmetic number, because the mean of its divisors is an integer number (255336192).

Almost surely, 2^2013100993 is an apocalyptic number.

It is an amenable number.

2013100993 is a deficient number, since it is larger than the sum of its proper divisors (29588543).

2013100993 is a wasteful number, since it uses less digits than its factorization.

2013100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94775.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 2013100993 is about 44867.5940184004. The cubic root of 2013100993 is about 1262.6661009182. Note that the first 3 decimals are identical.

The spelling of 2013100993 in words is "two billion, thirteen million, one hundred thousand, nine hundred ninety-three".