31131023212000 has 384 divisors, whose sum is σ = 80063048153088. Its totient is φ = 11884674816000.

The previous prime is 31131023211997. The next prime is 31131023212057. The reversal of 31131023212000 is 21232013113.

It is a congruent number.

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, 5586041214 + ... + 5586046786.

It is an arithmetic number, because the mean of its divisors is an integer number (208497521232).

Almost surely, 2^{31131023212000} 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 31131023212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40031524076544).

31131023212000 is an abundant number, since it is smaller than the sum of its proper divisors (48932024941088).

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

31131023212000 is a wasteful number, since it uses less digits than its factorization.

31131023212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31131023212000 its reverse (21232013113), we get a palindrome (31152255225113).

The spelling of 31131023212000 in words is "thirty-one trillion, one hundred thirty-one billion, twenty-three million, two hundred twelve thousand".