13122011321028 has 36 divisors (see below), whose sum is σ = 35120677360860. Its totient is φ = 4116709433856.

The previous prime is 13122011321009. The next prime is 13122011321077. The reversal of 13122011321028 is 82012311022131.

It is a happy number.

13122011321028 is a `hidden beast` number, since 1 + 312 + 2 + 0 + 1 + 1 + 321 + 0 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4169755832004 + 8952255489024 = 2041998^2 + 2992032^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13122011321028² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122011320992 and 13122011321010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10720596873 + ... + 10720598096.

It is an arithmetic number, because the mean of its divisors is an integer number (975574371135).

Almost surely, 2^{13122011321028} is an apocalyptic number.

13122011321028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13122011321028 is an abundant number, since it is smaller than the sum of its proper divisors (21998666039832).

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

13122011321028 is a wasteful number, since it uses less digits than its factorization.

13122011321028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21441194996 (or 21441194991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 13122011321028 its reverse (82012311022131), we get a palindrome (95134322343159).

The spelling of 13122011321028 in words is "thirteen trillion, one hundred twenty-two billion, eleven million, three hundred twenty-one thousand, twenty-eight".