10291138143312 has 320 divisors, whose sum is σ = 31310608492800. Its totient is φ = 2883949608960.

The previous prime is 10291138143203. The next prime is 10291138143337. The reversal of 10291138143312 is 21334183119201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80046762 + ... + 80175222.

It is an arithmetic number, because the mean of its divisors is an integer number (97845651540).

Almost surely, 2^{10291138143312} is an apocalyptic number.

10291138143312 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 10291138143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655304246400).

10291138143312 is an abundant number, since it is smaller than the sum of its proper divisors (21019470349488).

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

10291138143312 is a wasteful number, since it uses less digits than its factorization.

10291138143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128766 (or 128760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10291138143312 in words is "ten trillion, two hundred ninety-one billion, one hundred thirty-eight million, one hundred forty-three thousand, three hundred twelve".