10213101133312 has 160 divisors (see below), whose sum is σ = 25446844583424. Its totient is φ = 3978304512000.

The previous prime is 10213101133273. The next prime is 10213101133327. The reversal of 10213101133312 is 21333110131201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210933618 + ... + 210982030.

Almost surely, 2^{10213101133312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213101133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723422291712).

10213101133312 is an abundant number, since it is smaller than the sum of its proper divisors (15233743450112).

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

10213101133312 is an equidigital number, since it uses as much as digits as its factorization.

10213101133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53800 (or 53784 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10213101133312 its reverse (21333110131201), we get a palindrome (31546211264513).

The spelling of 10213101133312 in words is "ten trillion, two hundred thirteen billion, one hundred one million, one hundred thirty-three thousand, three hundred twelve".