10521534440013 has 64 divisors (see below), whose sum is σ = 16319837491200. Its totient is φ = 5980782044160.

The previous prime is 10521534439993. The next prime is 10521534440071. The reversal of 10521534440013 is 31004443512501.

It is not a de Polignac number, because 10521534440013 - 2²⁴ = 10521517662797 is a prime.

It is a super-2 number, since 2×10521534440013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521534440413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87104103 + ... + 87224811.

It is an arithmetic number, because the mean of its divisors is an integer number (254997460800).

Almost surely, 2^{10521534440013} is an apocalyptic number.

It is an amenable number.

10521534440013 is a deficient number, since it is larger than the sum of its proper divisors (5798303051187).

10521534440013 is a wasteful number, since it uses less digits than its factorization.

10521534440013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124682.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 10521534440013 its reverse (31004443512501), we get a palindrome (41525977952514).

The spelling of 10521534440013 in words is "ten trillion, five hundred twenty-one billion, five hundred thirty-four million, four hundred forty thousand, thirteen".