121133112001331 has 8 divisors (see below), whose sum is σ = 121192067594400. Its totient is φ = 121074165403200.

The previous prime is 121133112001289. The next prime is 121133112001399. The reversal of 121133112001331 is 133100211331121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121133112001331 - 2⁶ = 121133112001267 is a prime.

It is a super-2 number, since 2×121133112001331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121133112001297 and 121133112001306.

It is not an unprimeable number, because it can be changed into a prime (121133112001831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24770375 + ... + 29254703.

It is an arithmetic number, because the mean of its divisors is an integer number (15149008449300).

Almost surely, 2^{121133112001331} is an apocalyptic number.

121133112001331 is a deficient number, since it is larger than the sum of its proper divisors (58955593069).

121133112001331 is a wasteful number, since it uses less digits than its factorization.

121133112001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497469.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 121133112001331 its reverse (133100211331121), we get a palindrome (254233323332452).

The spelling of 121133112001331 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, one hundred twelve million, one thousand, three hundred thirty-one".