10002013331220 has 144 divisors (see below), whose sum is σ = 30460603485312. Its totient is φ = 2656555749120.

The previous prime is 10002013331203. The next prime is 10002013331249. The reversal of 10002013331220 is 2213331020001.

10002013331220 is a `hidden beast` number, since 10 + 0 + 0 + 201 + 333 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002013331193 and 10002013331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293632990 + ... + 293667050.

It is an arithmetic number, because the mean of its divisors is an integer number (211531968648).

Almost surely, 2^{10002013331220} is an apocalyptic number.

10002013331220 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 10002013331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230301742656).

10002013331220 is an abundant number, since it is smaller than the sum of its proper divisors (20458590154092).

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

10002013331220 is a wasteful number, since it uses less digits than its factorization.

10002013331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40542 (or 40537 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10002013331220 its reverse (2213331020001), we get a palindrome (12215344351221).

The spelling of 10002013331220 in words is "ten trillion, two billion, thirteen million, three hundred thirty-one thousand, two hundred twenty".