1013052042336 has 384 divisors, whose sum is σ = 3075707013120. Its totient is φ = 289903214592.

The previous prime is 1013052042293. The next prime is 1013052042337. The reversal of 1013052042336 is 6332402503101.

It is a super-2 number, since 2×1013052042336² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013052042337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 111283161 + ... + 111292263.

It is an arithmetic number, because the mean of its divisors is an integer number (8009653680).

Almost surely, 2^{1013052042336} is an apocalyptic number.

1013052042336 is a gapful number since it is divisible by the number (16) 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 1013052042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537853506560).

1013052042336 is an abundant number, since it is smaller than the sum of its proper divisors (2062654970784).

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

1013052042336 is a wasteful number, since it uses less digits than its factorization.

1013052042336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1013052042336 its reverse (6332402503101), we get a palindrome (7345454545437).

The spelling of 1013052042336 in words is "one trillion, thirteen billion, fifty-two million, forty-two thousand, three hundred thirty-six".