1012013213004 has 144 divisors (see below), whose sum is σ = 2793334078080. Its totient is φ = 319489557120.

The previous prime is 1012013212993. The next prime is 1012013213009. The reversal of 1012013213004 is 4003123102101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1012013213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91060152 + ... + 91071264.

It is an arithmetic number, because the mean of its divisors is an integer number (19398153320).

Almost surely, 2^{1012013213004} 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 1012013213004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396667039040).

1012013213004 is an abundant number, since it is smaller than the sum of its proper divisors (1781320865076).

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

1012013213004 is a wasteful number, since it uses less digits than its factorization.

1012013213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082 (or 16068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012013213004 its reverse (4003123102101), we get a palindrome (5015136315105).

The spelling of 1012013213004 in words is "one trillion, twelve billion, thirteen million, two hundred thirteen thousand, four".