10131734850012 has 144 divisors (see below), whose sum is σ = 27341191987200. Its totient is φ = 3158271267840.

The previous prime is 10131734850007. The next prime is 10131734850049. The reversal of 10131734850012 is 21005843713101.

10131734850012 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 173 + 485 + 0 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921164 + ... + 5366252.

It is an arithmetic number, because the mean of its divisors is an integer number (189869388800).

Almost surely, 2^{10131734850012} is an apocalyptic number.

10131734850012 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 10131734850012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670595993600).

10131734850012 is an abundant number, since it is smaller than the sum of its proper divisors (17209457137188).

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

10131734850012 is a wasteful number, since it uses less digits than its factorization.

10131734850012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445256 (or 2445251 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10131734850012 in words is "ten trillion, one hundred thirty-one billion, seven hundred thirty-four million, eight hundred fifty thousand, twelve".