3131231131000 has 256 divisors, whose sum is σ = 8706129868800. Its totient is φ = 1031741568000.

The previous prime is 3131231130977. The next prime is 3131231131003. The reversal of 3131231131000 is 1311321313.

It is a super-2 number, since 2×3131231131000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131231131003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19147581 + ... + 19310419.

It is an arithmetic number, because the mean of its divisors is an integer number (34008319800).

Almost surely, 2^{3131231131000} 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 3131231131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353064934400).

3131231131000 is an abundant number, since it is smaller than the sum of its proper divisors (5574898737800).

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

3131231131000 is a wasteful number, since it uses less digits than its factorization.

3131231131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162975 (or 162961 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3131231131000 its reverse (1311321313), we get a palindrome (3132542452313).

The spelling of 3131231131000 in words is "three trillion, one hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-one thousand".