10013253325020 has 240 divisors, whose sum is σ = 34295355708768. Its totient is φ = 2425487639040.

The previous prime is 10013253324961. The next prime is 10013253325051. The reversal of 10013253325020 is 2052335231001.

It is a happy number.

10013253325020 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 325 + 332 + 5 + 0 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21816214 + ... + 22270466.

Almost surely, 2^{10013253325020} is an apocalyptic number.

10013253325020 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 10013253325020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147677854384).

10013253325020 is an abundant number, since it is smaller than the sum of its proper divisors (24282102383748).

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

10013253325020 is a wasteful number, since it uses less digits than its factorization.

10013253325020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455522 (or 455511 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10013253325020 its reverse (2052335231001), we get a palindrome (12065588556021).

The spelling of 10013253325020 in words is "ten trillion, thirteen billion, two hundred fifty-three million, three hundred twenty-five thousand, twenty".