13031003302020 has 144 divisors (see below), whose sum is σ = 43133788414080. Its totient is φ = 3158077708800.

The previous prime is 13031003302001. The next prime is 13031003302049. The reversal of 13031003302020 is 2020330013031.

13031003302020 is a `hidden beast` number, since 1 + 3 + 0 + 310 + 0 + 330 + 2 + 0 + 20 = 666.

It is a super-3 number, since 3×13031003302020³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 13031003301984 and 13031003302002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5580160 + ... + 7563080.

It is an arithmetic number, because the mean of its divisors is an integer number (299540197320).

Almost surely, 2^{13031003302020} is an apocalyptic number.

13031003302020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031003302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566894207040).

13031003302020 is an abundant number, since it is smaller than the sum of its proper divisors (30102785112060).

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

13031003302020 is a wasteful number, since it uses less digits than its factorization.

13031003302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986266 (or 1986261 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13031003302020 its reverse (2020330013031), we get a palindrome (15051333315051).

The spelling of 13031003302020 in words is "thirteen trillion, thirty-one billion, three million, three hundred two thousand, twenty".