3131201340000 has 960 divisors, whose sum is σ = 11959871616000. Its totient is φ = 795674880000.

The previous prime is 3131201339999. The next prime is 3131201340019. The reversal of 3131201340000 is 431021313.

3131201340000 is a `hidden beast` number, since 31 + 31 + 201 + 3 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1237138735 + ... + 1237141265.

It is an arithmetic number, because the mean of its divisors is an integer number (12458199600).

Almost surely, 2^{3131201340000} is an apocalyptic number.

3131201340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131201340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979935808000).

3131201340000 is an abundant number, since it is smaller than the sum of its proper divisors (8828670276000).

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

3131201340000 is a wasteful number, since it uses less digits than its factorization.

3131201340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3131201340000 its reverse (431021313), we get a palindrome (3131632361313).

The spelling of 3131201340000 in words is "three trillion, one hundred thirty-one billion, two hundred one million, three hundred forty thousand".