10020003021300 has 288 divisors, whose sum is σ = 29684130982912. Its totient is φ = 2608943800320.

The previous prime is 10020003021257. The next prime is 10020003021319. The reversal of 10020003021300 is 312030002001.

It is a happy number.

10020003021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020003021300² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097837337 + ... + 1097846463.

Almost surely, 2^{10020003021300} is an apocalyptic number.

10020003021300 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 10020003021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842065491456).

10020003021300 is an abundant number, since it is smaller than the sum of its proper divisors (19664127961612).

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

10020003021300 is a wasteful number, since it uses less digits than its factorization.

10020003021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9687 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10020003021300 its reverse (312030002001), we get a palindrome (10332033023301).

The spelling of 10020003021300 in words is "ten trillion, twenty billion, three million, twenty-one thousand, three hundred".