31100130012100 has 72 divisors (see below), whose sum is σ = 67822465396896. Its totient is φ = 12378293760000.

The previous prime is 31100130012047. The next prime is 31100130012103. The reversal of 31100130012100 is 121003100113.

It is a super-2 number, since 2×31100130012100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31100130012103) 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 23 ways as a sum of consecutive naturals, for example, 94384635 + ... + 94713565.

It is an arithmetic number, because the mean of its divisors is an integer number (941978686068).

Almost surely, 2^{31100130012100} 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 31100130012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33911232698448).

31100130012100 is an abundant number, since it is smaller than the sum of its proper divisors (36722335384796).

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

31100130012100 is a wasteful number, since it uses less digits than its factorization.

31100130012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333637 (or 333630 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31100130012100 its reverse (121003100113), we get a palindrome (31221133112213).

The spelling of 31100130012100 in words is "thirty-one trillion, one hundred billion, one hundred thirty million, twelve thousand, one hundred".