31020010221312 has 720 divisors, whose sum is σ = 108017767704000. Its totient is φ = 8850486435840.

The previous prime is 31020010221311. The next prime is 31020010221377. The reversal of 31020010221312 is 21312201002013.

31020010221312 is a `hidden beast` number, since 31 + 0 + 200 + 102 + 21 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020010221311) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5896216762 + ... + 5896222022.

Almost surely, 2^{31020010221312} is an apocalyptic number.

31020010221312 is a gapful number since it is divisible by the number (32) 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 31020010221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54008883852000).

31020010221312 is an abundant number, since it is smaller than the sum of its proper divisors (76997757482688).

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

31020010221312 is an frugal number, since it uses more digits than its factorization.

31020010221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31020010221312 its reverse (21312201002013), we get a palindrome (52332211223325).

The spelling of 31020010221312 in words is "thirty-one trillion, twenty billion, ten million, two hundred twenty-one thousand, three hundred twelve".