10012133123322 has 64 divisors (see below), whose sum is σ = 22043508286464. Its totient is φ = 3006374595840.

The previous prime is 10012133123303. The next prime is 10012133123341. The reversal of 10012133123322 is 22332133121001.

It is an interprime number because it is at equal distance from previous prime (10012133123303) and next prime (10012133123341).

It is a junction number, because it is equal to n+sod(n) for n = 10012133123292 and 10012133123301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29866683 + ... + 30200049.

It is an arithmetic number, because the mean of its divisors is an integer number (344429816976).

Almost surely, 2^{10012133123322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012133123322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021754143232).

10012133123322 is an abundant number, since it is smaller than the sum of its proper divisors (12031375163142).

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

10012133123322 is a wasteful number, since it uses less digits than its factorization.

10012133123322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337523.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10012133123322 its reverse (22332133121001), we get a palindrome (32344266244323).

The spelling of 10012133123322 in words is "ten trillion, twelve billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred twenty-two".