13003021320210 has 80 divisors (see below), whose sum is σ = 35116359874200. Its totient is φ = 3452330502144.

The previous prime is 13003021320209. The next prime is 13003021320301. The reversal of 13003021320210 is 1202312030031.

13003021320210 is a `hidden beast` number, since 1 + 30 + 0 + 302 + 1 + 320 + 2 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12161338010721 + 841683309489 = 3487311^2 + 917433^2 .

It is a super-2 number, since 2×13003021320210² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34864975 + ... + 35235954.

Almost surely, 2^{13003021320210} is an apocalyptic number.

13003021320210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13003021320210 is an abundant number, since it is smaller than the sum of its proper divisors (22113338553990).

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

13003021320210 is a wasteful number, since it uses less digits than its factorization.

13003021320210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70101177 (or 70101168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13003021320210 its reverse (1202312030031), we get a palindrome (14205333350241).

The spelling of 13003021320210 in words is "thirteen trillion, three billion, twenty-one million, three hundred twenty thousand, two hundred ten".