31314242130000 has 200 divisors, whose sum is σ = 101093696011968. Its totient is φ = 8349874176000.

The previous prime is 31314242129923. The next prime is 31314242130071. The reversal of 31314242130000 is 3124241313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572162637 + ... + 572217363.

Almost surely, 2^{31314242130000} is an apocalyptic number.

31314242130000 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 31314242130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50546848005984).

31314242130000 is an abundant number, since it is smaller than the sum of its proper divisors (69779453881968).

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

31314242130000 is a wasteful number, since it uses less digits than its factorization.

31314242130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73831 (or 73810 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31314242130000 its reverse (3124241313), we get a palindrome (31317366371313).

The spelling of 31314242130000 in words is "thirty-one trillion, three hundred fourteen billion, two hundred forty-two million, one hundred thirty thousand".