120310313101101 has 160 divisors (see below), whose sum is σ = 190367969983488. Its totient is φ = 75621597511680.

The previous prime is 120310313100997. The next prime is 120310313101127. The reversal of 120310313101101 is 101101313013021.

120310313101101 is a `hidden beast` number, since 1 + 2 + 0 + 310 + 31 + 310 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 120310313101101 - 2⁷ = 120310313100973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120310313101141) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6923528925 + ... + 6923546301.

Almost surely, 2^{120310313101101} is an apocalyptic number.

It is an amenable number.

120310313101101 is a deficient number, since it is larger than the sum of its proper divisors (70057656882387).

120310313101101 is a wasteful number, since it uses less digits than its factorization.

120310313101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17953 (or 17944 counting only the distinct ones).

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

Adding to 120310313101101 its reverse (101101313013021), we get a palindrome (221411626114122).

The spelling of 120310313101101 in words is "one hundred twenty trillion, three hundred ten billion, three hundred thirteen million, one hundred one thousand, one hundred one".