31000120210020 has 192 divisors, whose sum is σ = 96032282379264. Its totient is φ = 7423641792000.

The previous prime is 31000120210001. The next prime is 31000120210043. The reversal of 31000120210020 is 2001202100013.

It is a super-2 number, since 2×31000120210020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31000120209978 and 31000120210005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6577359 + ... + 10259721.

It is an arithmetic number, because the mean of its divisors is an integer number (500168137392).

Almost surely, 2^{31000120210020} is an apocalyptic number.

31000120210020 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 31000120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016141189632).

31000120210020 is an abundant number, since it is smaller than the sum of its proper divisors (65032162169244).

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

31000120210020 is a wasteful number, since it uses less digits than its factorization.

31000120210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682682 (or 3682680 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31000120210020 its reverse (2001202100013), we get a palindrome (33001322310033).

The spelling of 31000120210020 in words is "thirty-one trillion, one hundred twenty million, two hundred ten thousand, twenty".