10213144020 has 288 divisors, whose sum is σ = 33673086720. Its totient is φ = 2497904640.

The previous prime is 10213144013. The next prime is 10213144037. The reversal of 10213144020 is 2044131201.

10213144020 is a `hidden beast` number, since 10 + 213 + 1 + 440 + 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 = 10213143984 and 10213144002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30855255 + ... + 30855585.

It is an arithmetic number, because the mean of its divisors is an integer number (116920440).

Almost surely, 2^10213144020 is an apocalyptic number.

10213144020 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 10213144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836543360).

10213144020 is an abundant number, since it is smaller than the sum of its proper divisors (23459942700).

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

10213144020 is a wasteful number, since it uses less digits than its factorization.

10213144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213144020 its reverse (2044131201), we get a palindrome (12257275221).

The spelling of 10213144020 in words is "ten billion, two hundred thirteen million, one hundred forty-four thousand, twenty".