1010011310010 has 96 divisors (see below), whose sum is σ = 2712229807248. Its totient is φ = 260634516480.

The previous prime is 1010011309973. The next prime is 1010011310053. The reversal of 1010011310010 is 100131100101.

It can be written as a sum of positive squares in 8 ways, for example, as 847351547289 + 162659762721 = 920517^2 + 403311^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010011309974 and 1010011310001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102081 + ... + 1798500.

Almost surely, 2^{1010011310010} is an apocalyptic number.

1010011310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010011310010 is an abundant number, since it is smaller than the sum of its proper divisors (1702218497238).

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

1010011310010 is a wasteful number, since it uses less digits than its factorization.

1010011310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900720 (or 2900717 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1010011310010 its reverse (100131100101), we get a palindrome (1110142410111).

The spelling of 1010011310010 in words is "one trillion, ten billion, eleven million, three hundred ten thousand, ten".