10010221131213 has 24 divisors (see below), whose sum is σ = 14484716064000. Its totient is φ = 6661717867584.

The previous prime is 10010221131173. The next prime is 10010221131259. The reversal of 10010221131213 is 31213112201001.

10010221131213 is a `hidden beast` number, since 100 + 1 + 0 + 221 + 131 + 213 = 666.

It is not a de Polignac number, because 10010221131213 - 2³³ = 10001631196621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010221131013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11722638 + ... + 12547536.

It is an arithmetic number, because the mean of its divisors is an integer number (603529836000).

Almost surely, 2^{10010221131213} is an apocalyptic number.

It is an amenable number.

10010221131213 is a deficient number, since it is larger than the sum of its proper divisors (4474494932787).

10010221131213 is a wasteful number, since it uses less digits than its factorization.

10010221131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827281 (or 827278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10010221131213 its reverse (31213112201001), we get a palindrome (41223333332214).

The spelling of 10010221131213 in words is "ten trillion, ten billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred thirteen".