121332100011311 has 64 divisors (see below), whose sum is σ = 144337871462400. Its totient is φ = 99838166630400.

The previous prime is 121332100011259. The next prime is 121332100011329. The reversal of 121332100011311 is 113110001233121.

It is a cyclic number.

It is not a de Polignac number, because 121332100011311 - 2³⁴ = 121314920142127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121332100011391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6361449071 + ... + 6361468143.

It is an arithmetic number, because the mean of its divisors is an integer number (2255279241600).

Almost surely, 2^{121332100011311} is an apocalyptic number.

121332100011311 is a deficient number, since it is larger than the sum of its proper divisors (23005771451089).

121332100011311 is a wasteful number, since it uses less digits than its factorization.

121332100011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 121332100011311 its reverse (113110001233121), we get a palindrome (234442101244432).

The spelling of 121332100011311 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, one hundred million, eleven thousand, three hundred eleven".