100313000520 has 128 divisors (see below), whose sum is σ = 307545638400. Its totient is φ = 26163634176.

The previous prime is 100313000479. The next prime is 100313000569. The reversal of 100313000520 is 25000313001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100313000520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10017276 + ... + 10027284.

It is an arithmetic number, because the mean of its divisors is an integer number (2402700300).

Almost surely, 2^100313000520 is an apocalyptic number.

100313000520 is a gapful number since it is divisible by the number (10) 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 100313000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153772819200).

100313000520 is an abundant number, since it is smaller than the sum of its proper divisors (207232637880).

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

100313000520 is a wasteful number, since it uses less digits than its factorization.

100313000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 100313000520 its reverse (25000313001), we get a palindrome (125313313521).

The spelling of 100313000520 in words is "one hundred billion, three hundred thirteen million, five hundred twenty", and thus it is an aban number.