10042513215312 has 80 divisors (see below), whose sum is σ = 26205311899520. Its totient is φ = 3313703748096.

The previous prime is 10042513215253. The next prime is 10042513215331. The reversal of 10042513215312 is 21351231524001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10042513215312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12244614 + ... + 13039002.

It is an arithmetic number, because the mean of its divisors is an integer number (327566398744).

Almost surely, 2^{10042513215312} is an apocalyptic number.

10042513215312 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 10042513215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102655949760).

10042513215312 is an abundant number, since it is smaller than the sum of its proper divisors (16162798684208).

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

10042513215312 is a wasteful number, since it uses less digits than its factorization.

10042513215312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797060 (or 797054 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10042513215312 its reverse (21351231524001), we get a palindrome (31393744739313).

The spelling of 10042513215312 in words is "ten trillion, forty-two billion, five hundred thirteen million, two hundred fifteen thousand, three hundred twelve".