100113030113238 has 128 divisors (see below), whose sum is σ = 240345855959040. Its totient is φ = 30798749076480.

The previous prime is 100113030113237. The next prime is 100113030113251. The reversal of 100113030113238 is 832311030311001.

It is a happy number.

100113030113238 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 30 + 301 + 1 + 323 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113030113237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9117306 + ... + 16833042.

It is an arithmetic number, because the mean of its divisors is an integer number (1877701999680).

Almost surely, 2^{100113030113238} is an apocalyptic number.

100113030113238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113030113238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120172927979520).

100113030113238 is an abundant number, since it is smaller than the sum of its proper divisors (140232825845802).

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

100113030113238 is a wasteful number, since it uses less digits than its factorization.

100113030113238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716139 (or 7716133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 100113030113238 its reverse (832311030311001), we get a palindrome (932424060424239).

The spelling of 100113030113238 in words is "one hundred trillion, one hundred thirteen billion, thirty million, one hundred thirteen thousand, two hundred thirty-eight".