10111032133121 has 8 divisors (see below), whose sum is σ = 10384365393000. Its totient is φ = 9837702142848.

The previous prime is 10111032133073. The next prime is 10111032133177. The reversal of 10111032133121 is 12133123011101.

It can be written as a sum of positive squares in 4 ways, for example, as 7255287022096 + 2855745111025 = 2693564^2 + 1689895^2 .

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 10111032133121 - 2²⁶ = 10110965024257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111032133093 and 10111032133102.

It is not an unprimeable number, because it can be changed into a prime (10111032133421) 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, 6270755 + ... + 7716503.

It is an arithmetic number, because the mean of its divisors is an integer number (1298045674125).

Almost surely, 2^{10111032133121} is an apocalyptic number.

It is an amenable number.

10111032133121 is a deficient number, since it is larger than the sum of its proper divisors (273333259879).

10111032133121 is a wasteful number, since it uses less digits than its factorization.

10111032133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634803.

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

Adding to 10111032133121 its reverse (12133123011101), we get a palindrome (22244155144222).

The spelling of 10111032133121 in words is "ten trillion, one hundred eleven billion, thirty-two million, one hundred thirty-three thousand, one hundred twenty-one".