10521433551213 has 120 divisors (see below), whose sum is σ = 17613286974360. Its totient is φ = 6220408400640.

The previous prime is 10521433551173. The next prime is 10521433551271. The reversal of 10521433551213 is 31215533412501.

It is a happy number.

10521433551213 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 433 + 5 + 5 + 1 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39107831049 + 10482325720164 = 197757^2 + 3237642^2 .

It is not a de Polignac number, because 10521433551213 - 2³⁷ = 10383994597741 is a prime.

It is a super-2 number, since 2×10521433551213² (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 (10521433551283) 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 119 ways as a sum of consecutive naturals, for example, 118722523 + ... + 118811111.

It is an arithmetic number, because the mean of its divisors is an integer number (146777391453).

Almost surely, 2^{10521433551213} is an apocalyptic number.

10521433551213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10521433551213 is a deficient number, since it is larger than the sum of its proper divisors (7091853423147).

10521433551213 is an equidigital number, since it uses as much as digits as its factorization.

10521433551213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88761 (or 88709 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 10521433551213 its reverse (31215533412501), we get a palindrome (41736966963714).

The spelling of 10521433551213 in words is "ten trillion, five hundred twenty-one billion, four hundred thirty-three million, five hundred fifty-one thousand, two hundred thirteen".