10131751080 has 768 divisors, whose sum is σ = 39897446400. Its totient is φ = 2280960000.

The previous prime is 10131751061. The next prime is 10131751081. The reversal of 10131751080 is 8015713101.

10131751080 is a `hidden beast` number, since 10 + 131 + 7 + 510 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10131751081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166094250 + ... + 166094310.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 2^10131751080 is an apocalyptic number.

10131751080 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 10131751080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948723200).

10131751080 is an abundant number, since it is smaller than the sum of its proper divisors (29765695320).

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

10131751080 is a wasteful number, since it uses less digits than its factorization.

10131751080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 10131751080 in words is "ten billion, one hundred thirty-one million, seven hundred fifty-one thousand, eighty".