2013110040 has 64 divisors (see below), whose sum is σ = 6357196800. Its totient is φ = 508574592.

The previous prime is 2013110039. The next prime is 2013110053. The reversal of 2013110040 is 400113102.

It is a happy number.

It is a super-2 number, since 2×2013110040² = 8105224066297603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2013109998 and 2013110025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439192 + ... + 443751.

It is an arithmetic number, because the mean of its divisors is an integer number (99331200).

Almost surely, 2^2013110040 is an apocalyptic number.

2013110040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013110040 is an abundant number, since it is smaller than the sum of its proper divisors (4344086760).

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

2013110040 is a wasteful number, since it uses less digits than its factorization.

2013110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882976 (or 882972 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013110040 is about 44867.6948371543. The cubic root of 2013110040 is about 1262.6679924152.

Adding to 2013110040 its reverse (400113102), we get a palindrome (2413223142).

The spelling of 2013110040 in words is "two billion, thirteen million, one hundred ten thousand, forty".