10001312362140 has 384 divisors, whose sum is σ = 31140813312000. Its totient is φ = 2378092953600.

The previous prime is 10001312362033. The next prime is 10001312362177. The reversal of 10001312362140 is 4126321310001.

It is a happy number.

10001312362140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10001312362140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5992397226 + ... + 5992398894.

It is an arithmetic number, because the mean of its divisors is an integer number (81095868000).

Almost surely, 2^{10001312362140} is an apocalyptic number.

10001312362140 is a gapful number since it is divisible by the number (10) 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 10001312362140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570406656000).

10001312362140 is an abundant number, since it is smaller than the sum of its proper divisors (21139500949860).

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

10001312362140 is a wasteful number, since it uses less digits than its factorization.

10001312362140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10001312362140 its reverse (4126321310001), we get a palindrome (14127633672141).

The spelling of 10001312362140 in words is "ten trillion, one billion, three hundred twelve million, three hundred sixty-two thousand, one hundred forty".