13121022031020 has 144 divisors (see below), whose sum is σ = 42211722151872. Its totient is φ = 3291945592320.

The previous prime is 13121022031009. The next prime is 13121022031021. The reversal of 13121022031020 is 2013022012131.

13121022031020 is a `hidden beast` number, since 1 + 312 + 1 + 0 + 2 + 20 + 310 + 20 = 666.

It is a super-2 number, since 2×13121022031020² (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 a junction number, because it is equal to n+sod(n) for n = 13121022030984 and 13121022031002.

It is not an unprimeable number, because it can be changed into a prime (13121022031021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25725567 + ... + 26230646.

It is an arithmetic number, because the mean of its divisors is an integer number (293136959388).

Almost surely, 2^{13121022031020} is an apocalyptic number.

13121022031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121022031020 is an abundant number, since it is smaller than the sum of its proper divisors (29090700120852).

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

13121022031020 is a wasteful number, since it uses less digits than its factorization.

13121022031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51956312 (or 51956307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121022031020 its reverse (2013022012131), we get a palindrome (15134044043151).

The spelling of 13121022031020 in words is "thirteen trillion, one hundred twenty-one billion, twenty-two million, thirty-one thousand, twenty".