30131102100 has 144 divisors (see below), whose sum is σ = 95599506240. Its totient is φ = 7266508800.

The previous prime is 30131102093. The next prime is 30131102117. The reversal of 30131102100 is 120113103.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613246 + ... + 660554.

It is an arithmetic number, because the mean of its divisors is an integer number (663885460).

Almost surely, 2^30131102100 is an apocalyptic number.

30131102100 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 30131102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47799753120).

30131102100 is an abundant number, since it is smaller than the sum of its proper divisors (65468404140).

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

30131102100 is a wasteful number, since it uses less digits than its factorization.

30131102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47530 (or 47523 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30131102100 its reverse (120113103), we get a palindrome (30251215203).

It can be divided in two parts, 30131 and 102100, that added together give a palindrome (132231).

The spelling of 30131102100 in words is "thirty billion, one hundred thirty-one million, one hundred two thousand, one hundred".