13021353510 has 128 divisors (see below), whose sum is σ = 35329167360. Its totient is φ = 3042547200.

The previous prime is 13021353503. The next prime is 13021353517. The reversal of 13021353510 is 1535312031.

It is an interprime number because it is at equal distance from previous prime (13021353503) and next prime (13021353517).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021353517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9483184 + ... + 9484556.

It is an arithmetic number, because the mean of its divisors is an integer number (276009120).

Almost surely, 2^13021353510 is an apocalyptic number.

13021353510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021353510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664583680).

13021353510 is an abundant number, since it is smaller than the sum of its proper divisors (22307813850).

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

13021353510 is a wasteful number, since it uses less digits than its factorization.

13021353510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13021353510 its reverse (1535312031), we get a palindrome (14556665541).

The spelling of 13021353510 in words is "thirteen billion, twenty-one million, three hundred fifty-three thousand, five hundred ten".