10012133121312 has 192 divisors, whose sum is σ = 31832383290624. Its totient is φ = 2689871708160.

The previous prime is 10012133121311. The next prime is 10012133121313. The reversal of 10012133121312 is 21312133121001.

It is an interprime number because it is at equal distance from previous prime (10012133121311) and next prime (10012133121313).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10012133121311) 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, 12085512 + ... + 12887352.

It is an arithmetic number, because the mean of its divisors is an integer number (165793662972).

Almost surely, 2^{10012133121312} is an apocalyptic number.

10012133121312 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 10012133121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916191645312).

10012133121312 is an abundant number, since it is smaller than the sum of its proper divisors (21820250169312).

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

10012133121312 is a wasteful number, since it uses less digits than its factorization.

10012133121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802971 (or 802963 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10012133121312 its reverse (21312133121001), we get a palindrome (31324266242313).

The spelling of 10012133121312 in words is "ten trillion, twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred twelve".