31201334340012 has 192 divisors, whose sum is σ = 86191826273280. Its totient is φ = 9726898867200.

The previous prime is 31201334339947. The next prime is 31201334340037. The reversal of 31201334340012 is 21004343310213.

It is a happy number.

31201334340012 is a `hidden beast` number, since 3 + 1 + 201 + 3 + 3 + 43 + 400 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428983593 + ... + 429056319.

It is an arithmetic number, because the mean of its divisors is an integer number (448915761840).

Almost surely, 2^{31201334340012} 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 31201334340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43095913136640).

31201334340012 is an abundant number, since it is smaller than the sum of its proper divisors (54990491933268).

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

31201334340012 is a wasteful number, since it uses less digits than its factorization.

31201334340012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74229 (or 74221 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31201334340012 its reverse (21004343310213), we get a palindrome (52205677650225).

The spelling of 31201334340012 in words is "thirty-one trillion, two hundred one billion, three hundred thirty-four million, three hundred forty thousand, twelve".