3100113000 has 160 divisors (see below), whose sum is σ = 10836900360. Its totient is φ = 826675200.

The previous prime is 3100112987. The next prime is 3100113001. The reversal of 3100113000 is 3110013.

It can be written as a sum of positive squares in 4 ways, for example, as 1598240484 + 1501872516 = 39978^2 + 38754^2 .

It is a super-2 number, since 2×3100113000² = 19221401225538000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3100113001) 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 39 ways as a sum of consecutive naturals, for example, 61864 + ... + 100136.

Almost surely, 2^3100113000 is an apocalyptic number.

3100113000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418450180).

3100113000 is an abundant number, since it is smaller than the sum of its proper divisors (7736787360).

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

3100113000 is a wasteful number, since it uses less digits than its factorization.

3100113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38306 (or 38283 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3100113000 is about 55678.6583890093. The cubic root of 3100113000 is about 1458.1174523072.

Adding to 3100113000 its reverse (3110013), we get a palindrome (3103223013).

The spelling of 3100113000 in words is "three billion, one hundred million, one hundred thirteen thousand".