121321013301033 has 256 divisors, whose sum is σ = 213051550924800. Its totient is φ = 59697882316800.

The previous prime is 121321013300989. The next prime is 121321013301067. The reversal of 121321013301033 is 330103310123121.

It is not a de Polignac number, because 121321013301033 - 2⁶ = 121321013300969 is a prime.

It is a super-2 number, since 2×121321013301033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121321013300994 and 121321013301012.

It is not an unprimeable number, because it can be changed into a prime (121321013301073) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13292535516 + ... + 13292544642.

It is an arithmetic number, because the mean of its divisors is an integer number (832232620800).

Almost surely, 2^{121321013301033} is an apocalyptic number.

121321013301033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121321013301033 is a deficient number, since it is larger than the sum of its proper divisors (91730537623767).

121321013301033 is a wasteful number, since it uses less digits than its factorization.

121321013301033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 121321013301033 its reverse (330103310123121), we get a palindrome (451424323424154).

The spelling of 121321013301033 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, thirteen million, three hundred one thousand, thirty-three".