13131333302220 has 1152 divisors, whose sum is σ = 51594629990400. Its totient is φ = 2706551138304.

The previous prime is 13131333302207. The next prime is 13131333302281. The reversal of 13131333302220 is 2220333313131.

13131333302220 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 333 + 302 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5870062942 + ... + 5870065178.

It is an arithmetic number, because the mean of its divisors is an integer number (44787005200).

Almost surely, 2^{13131333302220} is an apocalyptic number.

13131333302220 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 13131333302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25797314995200).

13131333302220 is an abundant number, since it is smaller than the sum of its proper divisors (38463296688180).

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

13131333302220 is a wasteful number, since it uses less digits than its factorization.

13131333302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13131333302220 its reverse (2220333313131), we get a palindrome (15351666615351).

The spelling of 13131333302220 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred two thousand, two hundred twenty".