30013010100 has 108 divisors (see below), whose sum is σ = 94192682220. Its totient is φ = 7993382400.

The previous prime is 30013010081. The next prime is 30013010141. The reversal of 30013010100 is 101031003.

It can be written as a sum of positive squares in 6 ways, for example, as 372567204 + 29640442896 = 19302^2 + 172164^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 707490 + ... + 748710.

It is an arithmetic number, because the mean of its divisors is an integer number (872154465).

Almost surely, 2^30013010100 is an apocalyptic number.

30013010100 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 30013010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47096341110).

30013010100 is an abundant number, since it is smaller than the sum of its proper divisors (64179672120).

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

30013010100 is a wasteful number, since it uses less digits than its factorization.

30013010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42050 (or 42040 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 30013010100 its reverse (101031003), we get a palindrome (30114041103).

The spelling of 30013010100 in words is "thirty billion, thirteen million, ten thousand, one hundred".