121034033101331 has 64 divisors (see below), whose sum is σ = 142819380403200. Its totient is φ = 100443062361600.

The previous prime is 121034033101307. The next prime is 121034033101351. The reversal of 121034033101331 is 133101330430121.

It is a happy number.

It is not a de Polignac number, because 121034033101331 - 2¹⁴ = 121034033084947 is a prime.

It is a super-2 number, since 2×121034033101331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121034033101331.

It is not an unprimeable number, because it can be changed into a prime (121034033101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3028026176 + ... + 3028066146.

It is an arithmetic number, because the mean of its divisors is an integer number (2231552818800).

Almost surely, 2^{121034033101331} is an apocalyptic number.

121034033101331 is a deficient number, since it is larger than the sum of its proper divisors (21785347301869).

121034033101331 is a wasteful number, since it uses less digits than its factorization.

121034033101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40620.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 121034033101331 its reverse (133101330430121), we get a palindrome (254135363531452).

The spelling of 121034033101331 in words is "one hundred twenty-one trillion, thirty-four billion, thirty-three million, one hundred one thousand, three hundred thirty-one".