13122112100020 has 144 divisors (see below), whose sum is σ = 36495901314432. Its totient is φ = 3849420072960.

The previous prime is 13122112100017. The next prime is 13122112100029. The reversal of 13122112100020 is 2000121122131.

It is a super-3 number, since 3×13122112100020³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122112099967 and 13122112100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122112100029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14296899 + ... + 15187018.

It is an arithmetic number, because the mean of its divisors is an integer number (253443759128).

Almost surely, 2^{13122112100020} is an apocalyptic number.

13122112100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122112100020 is an abundant number, since it is smaller than the sum of its proper divisors (23373789214412).

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

13122112100020 is a wasteful number, since it uses less digits than its factorization.

13122112100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29483978 (or 29483959 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13122112100020 its reverse (2000121122131), we get a palindrome (15122233222151).

The spelling of 13122112100020 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thousand, twenty".