1014413013012 has 144 divisors (see below), whose sum is σ = 2813733393408. Its totient is φ = 283489778880.

The previous prime is 1014413012993. The next prime is 1014413013049. The reversal of 1014413013012 is 2103103144101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1014413013012.

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 47 ways as a sum of consecutive naturals, for example, 48269587 + ... + 48290597.

It is an arithmetic number, because the mean of its divisors is an integer number (19539815232).

Almost surely, 2^{1014413013012} is an apocalyptic number.

1014413013012 is a gapful number since it is divisible by the number (12) 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 1014413013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406866696704).

1014413013012 is an abundant number, since it is smaller than the sum of its proper divisors (1799320380396).

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

1014413013012 is a wasteful number, since it uses less digits than its factorization.

1014413013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22826 (or 22817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1014413013012 its reverse (2103103144101), we get a palindrome (3117516157113).

The spelling of 1014413013012 in words is "one trillion, fourteen billion, four hundred thirteen million, thirteen thousand, twelve".