1010010312032 has 72 divisors (see below), whose sum is σ = 2141719941816. Its totient is φ = 467242179584.

The previous prime is 1010010312023. The next prime is 1010010312071. The reversal of 1010010312032 is 2302130100101.

It is a junction number, because it is equal to n+sod(n) for n = 1010010311998 and 1010010312016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1626983 + ... + 2160345.

It is an arithmetic number, because the mean of its divisors is an integer number (29746110303).

Almost surely, 2^{1010010312032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010010312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070859970908).

1010010312032 is an abundant number, since it is smaller than the sum of its proper divisors (1131709629784).

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

1010010312032 is an equidigital number, since it uses as much as digits as its factorization.

1010010312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533508 (or 533441 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010010312032 its reverse (2302130100101), we get a palindrome (3312140412133).

The spelling of 1010010312032 in words is "one trillion, ten billion, ten million, three hundred twelve thousand, thirty-two".