10310101133121 has 32 divisors (see below), whose sum is σ = 15342861456000. Its totient is φ = 6842519193600.

The previous prime is 10310101133119. The next prime is 10310101133161. The reversal of 10310101133121 is 12133110101301.

10310101133121 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 0 + 1 + 1 + 331 + 21 = 666.

It is not a de Polignac number, because 10310101133121 - 2¹ = 10310101133119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10310101133094 and 10310101133103.

It is not an unprimeable number, because it can be changed into a prime (10310101133161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75937905 + ... + 76073553.

It is an arithmetic number, because the mean of its divisors is an integer number (479464420500).

Almost surely, 2^{10310101133121} is an apocalyptic number.

It is an amenable number.

10310101133121 is a deficient number, since it is larger than the sum of its proper divisors (5032760322879).

10310101133121 is a wasteful number, since it uses less digits than its factorization.

10310101133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148286 (or 148280 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10310101133121 its reverse (12133110101301), we get a palindrome (22443211234422).

The spelling of 10310101133121 in words is "ten trillion, three hundred ten billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-one".