113331202100 has 36 divisors (see below), whose sum is σ = 260395107084. Its totient is φ = 42665863680.

The previous prime is 113331202079. The next prime is 113331202111. The reversal of 113331202100 is 1202133311.

It can be written as a sum of positive squares in 6 ways, for example, as 1061977744 + 112269224356 = 32588^2 + 335066^2 .

It is a super-2 number, since 2×113331202100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33331007 + ... + 33334406.

It is an arithmetic number, because the mean of its divisors is an integer number (7233197419).

Almost surely, 2^113331202100 is an apocalyptic number.

113331202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113331202100 is an abundant number, since it is smaller than the sum of its proper divisors (147063904984).

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

113331202100 is a wasteful number, since it uses less digits than its factorization.

113331202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66665444 (or 66665437 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113331202100 its reverse (1202133311), we get a palindrome (114533335411).

The spelling of 113331202100 in words is "one hundred thirteen billion, three hundred thirty-one million, two hundred two thousand, one hundred".