10131545361168 has 400 divisors, whose sum is σ = 36901047896064. Its totient is φ = 2606973361920.

The previous prime is 10131545361149. The next prime is 10131545361233. The reversal of 10131545361168 is 86116354513101.

10131545361168 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 54 + 536 + 1 + 1 + 68 = 666.

It is a super-2 number, since 2×10131545361168² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10203321 + ... + 11152167.

Almost surely, 2^{10131545361168} is an apocalyptic number.

10131545361168 is a gapful number since it is divisible by the number (18) 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 10131545361168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450523948032).

10131545361168 is an abundant number, since it is smaller than the sum of its proper divisors (26769502534896).

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

10131545361168 is a wasteful number, since it uses less digits than its factorization.

10131545361168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948992 (or 948977 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

Adding to 10131545361168 its reverse (86116354513101), we get a palindrome (96247899874269).

The spelling of 10131545361168 in words is "ten trillion, one hundred thirty-one billion, five hundred forty-five million, three hundred sixty-one thousand, one hundred sixty-eight".