2013100331 has 32 divisors (see below), whose sum is σ = 2348075520. Its totient is φ = 1706745600.

The previous prime is 2013100319. The next prime is 2013100361. The reversal of 2013100331 is 1330013102.

It is a cyclic number.

It is not a de Polignac number, because 2013100331 - 2²² = 2008906027 is a prime.

It is a super-2 number, since 2×2013100331² = 8105145885344619122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013100301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4781501 + ... + 4781921.

It is an arithmetic number, because the mean of its divisors is an integer number (73377360).

Almost surely, 2^2013100331 is an apocalyptic number.

2013100331 is a deficient number, since it is larger than the sum of its proper divisors (334975189).

2013100331 is a wasteful number, since it uses less digits than its factorization.

2013100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2013100331 is about 44867.5866411377. The cubic root of 2013100331 is about 1262.6659625107.

Adding to 2013100331 its reverse (1330013102), we get a palindrome (3343113433).

The spelling of 2013100331 in words is "two billion, thirteen million, one hundred thousand, three hundred thirty-one".