13021331021010 has 192 divisors, whose sum is σ = 36734359884768. Its totient is φ = 3181171802112.

The previous prime is 13021331021009. The next prime is 13021331021011. The reversal of 13021331021010 is 1012013312031.

13021331021010 is a `hidden beast` number, since 1 + 302 + 1 + 331 + 0 + 21 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (13021331021009) and next prime (13021331021011).

It can be written as a sum of positive squares in 16 ways, for example, as 2378383924401 + 10642947096609 = 1542201^2 + 3262353^2 .

It is a super-2 number, since 2×13021331021010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13021331021011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116734824 + ... + 116846316.

Almost surely, 2^{13021331021010} is an apocalyptic number.

13021331021010 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 13021331021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367179942384).

13021331021010 is an abundant number, since it is smaller than the sum of its proper divisors (23713028863758).

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

13021331021010 is a wasteful number, since it uses less digits than its factorization.

13021331021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112269 (or 112266 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13021331021010 its reverse (1012013312031), we get a palindrome (14033344333041).

The spelling of 13021331021010 in words is "thirteen trillion, twenty-one billion, three hundred thirty-one million, twenty-one thousand, ten".