3131033102120 has 128 divisors (see below), whose sum is σ = 8795245455360. Its totient is φ = 974563349760.

The previous prime is 3131033102111. The next prime is 3131033102123. The reversal of 3131033102120 is 212013301313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3131033102092 and 3131033102101.

It is not an unprimeable number, because it can be changed into a prime (3131033102123) 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 31 ways as a sum of consecutive naturals, for example, 1540007 + ... + 2938313.

It is an arithmetic number, because the mean of its divisors is an integer number (68712855120).

Almost surely, 2^{3131033102120} 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 3131033102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397622727680).

3131033102120 is an abundant number, since it is smaller than the sum of its proper divisors (5664212353240).

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

3131033102120 is a wasteful number, since it uses less digits than its factorization.

3131033102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399063 (or 1399059 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3131033102120 its reverse (212013301313), we get a palindrome (3343046403433).

The spelling of 3131033102120 in words is "three trillion, one hundred thirty-one billion, thirty-three million, one hundred two thousand, one hundred twenty".