3113000101020 has 192 divisors, whose sum is σ = 9277245734400. Its totient is φ = 777736028160.

The previous prime is 3113000100989. The next prime is 3113000101021. The reversal of 3113000101020 is 201010003113.

3113000101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3113000100987 and 3113000101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113000101021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40686000 + ... + 40762440.

It is an arithmetic number, because the mean of its divisors is an integer number (48318988200).

Almost surely, 2^{3113000101020} is an apocalyptic number.

3113000101020 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 3113000101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638622867200).

3113000101020 is an abundant number, since it is smaller than the sum of its proper divisors (6164245633380).

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

3113000101020 is a wasteful number, since it uses less digits than its factorization.

3113000101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76868 (or 76866 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3113000101020 its reverse (201010003113), we get a palindrome (3314010104133).

The spelling of 3113000101020 in words is "three trillion, one hundred thirteen billion, one hundred one thousand, twenty".