10213535244040 has 64 divisors (see below), whose sum is σ = 23733399168000. Its totient is φ = 3951686565120.

The previous prime is 10213535243971. The next prime is 10213535244097. The reversal of 10213535244040 is 4044253531201.

It is a junction number, because it is equal to n+sod(n) for n = 10213535243987 and 10213535244005.

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, 508566 + ... + 4548154.

It is an arithmetic number, because the mean of its divisors is an integer number (370834362000).

Almost surely, 2^{10213535244040} is an apocalyptic number.

10213535244040 is a gapful number since it is divisible by the number (10) 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 10213535244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866699584000).

10213535244040 is an abundant number, since it is smaller than the sum of its proper divisors (13519863923960).

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

10213535244040 is a wasteful number, since it uses less digits than its factorization.

10213535244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041670 (or 4041666 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 10213535244040 its reverse (4044253531201), we get a palindrome (14257788775241).

The spelling of 10213535244040 in words is "ten trillion, two hundred thirteen billion, five hundred thirty-five million, two hundred forty-four thousand, forty".