10020011013300 has 144 divisors (see below), whose sum is σ = 30525540059840. Its totient is φ = 2530669962240.

The previous prime is 10020011013293. The next prime is 10020011013317. The reversal of 10020011013300 is 331011002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20489232 + ... + 20972568.

Almost surely, 2^{10020011013300} is an apocalyptic number.

10020011013300 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 10020011013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262770029920).

10020011013300 is an abundant number, since it is smaller than the sum of its proper divisors (20505529046540).

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

10020011013300 is a wasteful number, since it uses less digits than its factorization.

10020011013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487010 (or 487003 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10020011013300 its reverse (331011002001), we get a palindrome (10351022015301).

The spelling of 10020011013300 in words is "ten trillion, twenty billion, eleven million, thirteen thousand, three hundred".