1010731131648 has 324 divisors, whose sum is σ = 3393488437248. Its totient is φ = 288480890880.

The previous prime is 1010731131623. The next prime is 1010731131649. The reversal of 1010731131648 is 8461311370101.

It is a happy number.

1010731131648 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 7 + 3 + 1 + 1 + 3 + 1 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1010731131649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123391233 + ... + 123399423.

Almost surely, 2^{1010731131648} is an apocalyptic number.

1010731131648 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 1010731131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696744218624).

1010731131648 is an abundant number, since it is smaller than the sum of its proper divisors (2382757305600).

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

1010731131648 is a wasteful number, since it uses less digits than its factorization.

1010731131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1010731131648 in words is "one trillion, ten billion, seven hundred thirty-one million, one hundred thirty-one thousand, six hundred forty-eight".