10121330011331 has 16 divisors (see below), whose sum is σ = 12743739687168. Its totient is φ = 7808664012000.

The previous prime is 10121330011321. The next prime is 10121330011337. The reversal of 10121330011331 is 13311003312101.

It is a cyclic number.

It is not a de Polignac number, because 10121330011331 - 2³⁴ = 10104150142147 is a prime.

It is a super-3 number, since 3×10121330011331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10121330011337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650714225 + ... + 650729778.

It is an arithmetic number, because the mean of its divisors is an integer number (796483730448).

Almost surely, 2^{10121330011331} is an apocalyptic number.

10121330011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121330011331 is a deficient number, since it is larger than the sum of its proper divisors (2622409675837).

10121330011331 is a wasteful number, since it uses less digits than its factorization.

10121330011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301444122.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10121330011331 its reverse (13311003312101), we get a palindrome (23432333323432).

The spelling of 10121330011331 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty million, eleven thousand, three hundred thirty-one".