100013251520 has 448 divisors, whose sum is σ = 315791917056. Its totient is φ = 29293608960.

The previous prime is 100013251483. The next prime is 100013251523. The reversal of 100013251520 is 25152310001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100013251492 and 100013251501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013251523) 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, 20760152 + ... + 20764968.

It is an arithmetic number, because the mean of its divisors is an integer number (704892672).

Almost surely, 2^100013251520 is an apocalyptic number.

100013251520 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 100013251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157895958528).

100013251520 is an abundant number, since it is smaller than the sum of its proper divisors (215778665536).

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

100013251520 is a wasteful number, since it uses less digits than its factorization.

100013251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 100013251520 its reverse (25152310001), we get a palindrome (125165561521).

The spelling of 100013251520 in words is "one hundred billion, thirteen million, two hundred fifty-one thousand, five hundred twenty".