3131141231790 has 240 divisors, whose sum is σ = 9945546872976. Its totient is φ = 700674624000.

The previous prime is 3131141231741. The next prime is 3131141231791. The reversal of 3131141231790 is 971321411313.

3131141231790 is a `hidden beast` number, since 3 + 1 + 311 + 41 + 231 + 79 + 0 = 666.

3131141231790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131141231791) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 466090 + ... + 2545490.

Almost surely, 2^{3131141231790} is an apocalyptic number.

3131141231790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131141231790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972773436488).

3131141231790 is an abundant number, since it is smaller than the sum of its proper divisors (6814405641186).

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

3131141231790 is a wasteful number, since it uses less digits than its factorization.

3131141231790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079457 (or 2079435 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 3131141231790 in words is "three trillion, one hundred thirty-one billion, one hundred forty-one million, two hundred thirty-one thousand, seven hundred ninety".