10213121320 has 64 divisors (see below), whose sum is σ = 23587154640. Its totient is φ = 3977625600.

The previous prime is 10213121299. The next prime is 10213121329. The reversal of 10213121320 is 2312131201.

It can be written as a sum of positive squares in 8 ways, for example, as 2871030724 + 7342090596 = 53582^2 + 85686^2 .

It is a super-3 number, since 3×10213121320³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213121294 and 10213121303.

It is not an unprimeable number, because it can be changed into a prime (10213121329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848464 + ... + 860416.

Almost surely, 2^10213121320 is an apocalyptic number.

10213121320 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 10213121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793577320).

10213121320 is an abundant number, since it is smaller than the sum of its proper divisors (13374033320).

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

10213121320 is a wasteful number, since it uses less digits than its factorization.

10213121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12526 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10213121320 its reverse (2312131201), we get a palindrome (12525252521).

The spelling of 10213121320 in words is "ten billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".