10020213312 has 224 divisors, whose sum is σ = 29155217280. Its totient is φ = 3025797120.

The previous prime is 10020213311. The next prime is 10020213317. The reversal of 10020213312 is 21331202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020213291 and 10020213300.

It is not an unprimeable number, because it can be changed into a prime (10020213311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8232928 + ... + 8234144.

It is an arithmetic number, because the mean of its divisors is an integer number (130157220).

Almost surely, 2^10020213312 is an apocalyptic number.

10020213312 is a gapful number since it is divisible by the number (12) 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 10020213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577608640).

10020213312 is an abundant number, since it is smaller than the sum of its proper divisors (19135003968).

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

10020213312 is a wasteful number, since it uses less digits than its factorization.

10020213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10020213312 its reverse (21331202001), we get a palindrome (31351415313).

The spelling of 10020213312 in words is "ten billion, twenty million, two hundred thirteen thousand, three hundred twelve".