10131953712408 has 192 divisors, whose sum is σ = 31140370598400. Its totient is φ = 3049954776000.

The previous prime is 10131953712407. The next prime is 10131953712427. The reversal of 10131953712408 is 80421735913101.

10131953712408 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 9 + 5 + 371 + 240 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131953712407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2662885 + ... + 5230187.

It is an arithmetic number, because the mean of its divisors is an integer number (162189430200).

Almost surely, 2^{10131953712408} is an apocalyptic number.

10131953712408 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 10131953712408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570185299200).

10131953712408 is an abundant number, since it is smaller than the sum of its proper divisors (21008416885992).

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

10131953712408 is a wasteful number, since it uses less digits than its factorization.

10131953712408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567491 (or 2567470 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10131953712408 in words is "ten trillion, one hundred thirty-one billion, nine hundred fifty-three million, seven hundred twelve thousand, four hundred eight".