31100132220030 has 352 divisors, whose sum is σ = 84812658085440. Its totient is φ = 8210550873600.

The previous prime is 31100132220023. The next prime is 31100132220067. The reversal of 31100132220030 is 3002223100113.

31100132220030 is a `hidden beast` number, since 3 + 110 + 0 + 1 + 322 + 200 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31100132219985 and 31100132220012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 50734310004 + ... + 50734310616.

Almost surely, 2^{31100132220030} is an apocalyptic number.

31100132220030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100132220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42406329042720).

31100132220030 is an abundant number, since it is smaller than the sum of its proper divisors (53712525865410).

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

31100132220030 is an equidigital number, since it uses as much as digits as its factorization.

31100132220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31100132220030 its reverse (3002223100113), we get a palindrome (34102355320143).

The spelling of 31100132220030 in words is "thirty-one trillion, one hundred billion, one hundred thirty-two million, two hundred twenty thousand, thirty".