13001213311020 has 144 divisors (see below), whose sum is σ = 44505720997920. Its totient is φ = 3043126195200.

The previous prime is 13001213311019. The next prime is 13001213311043. The reversal of 13001213311020 is 2011331210031.

13001213311020 is a `hidden beast` number, since 1 + 300 + 1 + 2 + 1 + 331 + 10 + 20 = 666.

13001213311020 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-3 number, since 3×13001213311020³ (a number of 40 digits) contains 333 as substring.

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 = 13001213310984 and 13001213311002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113154121 + ... + 113268960.

It is an arithmetic number, because the mean of its divisors is an integer number (309067506930).

Almost surely, 2^{13001213311020} is an apocalyptic number.

13001213311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001213311020 is an abundant number, since it is smaller than the sum of its proper divisors (31504507686900).

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

13001213311020 is a wasteful number, since it uses less digits than its factorization.

13001213311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226423136 (or 226423131 counting only the distinct ones).

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

Adding to 13001213311020 its reverse (2011331210031), we get a palindrome (15012544521051).

The spelling of 13001213311020 in words is "thirteen trillion, one billion, two hundred thirteen million, three hundred eleven thousand, twenty".