113003121302100 has 108 divisors (see below), whose sum is σ = 354205326400380. Its totient is φ = 30133883174400.

The previous prime is 113003121302089. The next prime is 113003121302119. The reversal of 113003121302100 is 1203121300311.

113003121302100 is a `hidden beast` number, since 1 + 1 + 300 + 3 + 121 + 30 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6304096553616 + 106699024748484 = 2510796^2 + 10329522^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106229656 + ... + 107288144.

Almost surely, 2^{113003121302100} is an apocalyptic number.

113003121302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113003121302100 is an abundant number, since it is smaller than the sum of its proper divisors (241202205098280).

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

113003121302100 is a wasteful number, since it uses less digits than its factorization.

113003121302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177130 (or 1177120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113003121302100 its reverse (1203121300311), we get a palindrome (114206242602411).

The spelling of 113003121302100 in words is "one hundred thirteen trillion, three billion, one hundred twenty-one million, three hundred two thousand, one hundred".