3131223130040 has 128 divisors (see below), whose sum is σ = 7241352955200. Its totient is φ = 1218217820160.

The previous prime is 3131223130019. The next prime is 3131223130051. The reversal of 3131223130040 is 400313221313.

It is a super-3 number, since 3×3131223130040³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131223129988 and 3131223130015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68824100 + ... + 68869580.

Almost surely, 2^{3131223130040} 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 3131223130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620676477600).

3131223130040 is an abundant number, since it is smaller than the sum of its proper divisors (4110129825160).

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

3131223130040 is a wasteful number, since it uses less digits than its factorization.

3131223130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45897 (or 45893 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3131223130040 its reverse (400313221313), we get a palindrome (3531536351353).

The spelling of 3131223130040 in words is "three trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred thirty thousand, forty".