10003223131020 has 288 divisors, whose sum is σ = 37096253970048. Its totient is φ = 2129768349696.

The previous prime is 10003223131009. The next prime is 10003223131039. The reversal of 10003223131020 is 2013132230001.

10003223131020 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 322 + 31 + 310 + 2 + 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 = 10003223130984 and 10003223131002.

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, 329497 + ... + 4484976.

It is an arithmetic number, because the mean of its divisors is an integer number (128806437396).

Almost surely, 2^{10003223131020} is an apocalyptic number.

10003223131020 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 10003223131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548126985024).

10003223131020 is an abundant number, since it is smaller than the sum of its proper divisors (27093030839028).

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

10003223131020 is a wasteful number, since it uses less digits than its factorization.

10003223131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814609 (or 4814604 counting only the distinct ones).

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

Adding to 10003223131020 its reverse (2013132230001), we get a palindrome (12016355361021).

The spelling of 10003223131020 in words is "ten trillion, three billion, two hundred twenty-three million, one hundred thirty-one thousand, twenty".