13313331331020 has 72 divisors (see below), whose sum is σ = 46152881951904. Its totient is φ = 3043047161088.

The previous prime is 13313331330991. The next prime is 13313331331039. The reversal of 13313331331020 is 2013313331331.

13313331331020 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 33 + 313 + 310 + 2 + 0 = 666.

13313331331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13313331331020² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5283066729 + ... + 5283069248.

It is an arithmetic number, because the mean of its divisors is an integer number (641012249332).

Almost surely, 2^{13313331331020} is an apocalyptic number.

13313331331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313331331020 is an abundant number, since it is smaller than the sum of its proper divisors (32839550620884).

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

13313331331020 is a wasteful number, since it uses less digits than its factorization.

13313331331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566135999 (or 10566135994 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13313331331020 its reverse (2013313331331), we get a palindrome (15326644662351).

The spelling of 13313331331020 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-one million, three hundred thirty-one thousand, twenty".