10013512013344 has 72 divisors (see below), whose sum is σ = 23933679819840. Its totient is φ = 4039063643136.

The previous prime is 10013512013333. The next prime is 10013512013347. The reversal of 10013512013344 is 44331021531001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10013512013347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77276404 + ... + 77405875.

It is an arithmetic number, because the mean of its divisors is an integer number (332412219720).

Almost surely, 2^{10013512013344} is an apocalyptic number.

10013512013344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10013512013344 is an abundant number, since it is smaller than the sum of its proper divisors (13920167806496).

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

10013512013344 is a wasteful number, since it uses less digits than its factorization.

10013512013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154682330 (or 154682305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 10013512013344 its reverse (44331021531001), we get a palindrome (54344533544345).

The spelling of 10013512013344 in words is "ten trillion, thirteen billion, five hundred twelve million, thirteen thousand, three hundred forty-four".