3111001020 has 240 divisors, whose sum is σ = 10465586208. Its totient is φ = 770826240.

The previous prime is 3111000983. The next prime is 3111001027. The reversal of 3111001020 is 201001113.

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

It is a junction number, because it is equal to n+sod(n) for n = 3111000993 and 3111001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2285140 + ... + 2286500.

Almost surely, 2^3111001020 is an apocalyptic number.

3111001020 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 3111001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232793104).

3111001020 is an abundant number, since it is smaller than the sum of its proper divisors (7354585188).

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

3111001020 is a wasteful number, since it uses less digits than its factorization.

3111001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 3111001020 is about 55776.3482131988. The cubic root of 3111001020 is about 1459.8224935883.

Adding to 3111001020 its reverse (201001113), we get a palindrome (3312002133).

The spelling of 3111001020 in words is "three billion, one hundred eleven million, one thousand, twenty".