31000113133220 has 192 divisors, whose sum is σ = 86038621853184. Its totient is φ = 9083380039680.

The previous prime is 31000113133217. The next prime is 31000113133273. The reversal of 31000113133220 is 2233131100013.

It is a super-2 number, since 2×31000113133220² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31000113133192 and 31000113133201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21745412 + ... + 23127108.

It is an arithmetic number, because the mean of its divisors is an integer number (448117822152).

Almost surely, 2^{31000113133220} 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 31000113133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43019310926592).

31000113133220 is an abundant number, since it is smaller than the sum of its proper divisors (55038508719964).

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

31000113133220 is a wasteful number, since it uses less digits than its factorization.

31000113133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382598 (or 1382596 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31000113133220 its reverse (2233131100013), we get a palindrome (33233244233233).

The spelling of 31000113133220 in words is "thirty-one trillion, one hundred thirteen million, one hundred thirty-three thousand, two hundred twenty".