3001131013120 has 176 divisors, whose sum is σ = 7293967837200. Its totient is φ = 1184753516544.

The previous prime is 3001131013117. The next prime is 3001131013141. The reversal of 3001131013120 is 213101311003.

It can be written as a sum of positive squares in 8 ways, for example, as 793553145856 + 2207577867264 = 890816^2 + 1485792^2 .

It is a super-2 number, since 2×3001131013120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3001131013094 and 3001131013103.

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, 119759632 + ... + 119784688.

It is an arithmetic number, because the mean of its divisors is an integer number (41442999075).

Almost surely, 2^{3001131013120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001131013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646983918600).

3001131013120 is an abundant number, since it is smaller than the sum of its proper divisors (4292836824080).

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

3001131013120 is a wasteful number, since it uses less digits than its factorization.

3001131013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25388 (or 25370 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 3001131013120 its reverse (213101311003), we get a palindrome (3214232324123).

The spelling of 3001131013120 in words is "three trillion, one billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".