100513403430 has 128 divisors (see below), whose sum is σ = 274365273600. Its totient is φ = 23350978560.

The previous prime is 100513403423. The next prime is 100513403437. The reversal of 100513403430 is 34304315001.

It is a happy number.

100513403430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100513403423) and next prime (100513403437).

It is a self number, because there is not a number n which added to its sum of digits gives 100513403430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100513403437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685246 + ... + 818894.

It is an arithmetic number, because the mean of its divisors is an integer number (2143478700).

Almost surely, 2^100513403430 is an apocalyptic number.

100513403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100513403430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137182636800).

100513403430 is an abundant number, since it is smaller than the sum of its proper divisors (173851870170).

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

100513403430 is a wasteful number, since it uses less digits than its factorization.

100513403430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133766.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 100513403430 its reverse (34304315001), we get a palindrome (134817718431).

The spelling of 100513403430 in words is "one hundred billion, five hundred thirteen million, four hundred three thousand, four hundred thirty".