120011020313131 has 24 divisors (see below), whose sum is σ = 125535821806080. Its totient is φ = 114719913277200.

The previous prime is 120011020313099. The next prime is 120011020313143. The reversal of 120011020313131 is 131313020110021.

It is not a de Polignac number, because 120011020313131 - 2⁵ = 120011020313099 is a prime.

It is a super-2 number, since 2×120011020313131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120011020313099 and 120011020313108.

It is not an unprimeable number, because it can be changed into a prime (120011020311131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6727443310 + ... + 6727461148.

It is an arithmetic number, because the mean of its divisors is an integer number (5230659241920).

Almost surely, 2^{120011020313131} is an apocalyptic number.

120011020313131 is a deficient number, since it is larger than the sum of its proper divisors (5524801492949).

120011020313131 is a wasteful number, since it uses less digits than its factorization.

120011020313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25287 (or 25264 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 120011020313131 its reverse (131313020110021), we get a palindrome (251324040423152).

The spelling of 120011020313131 in words is "one hundred twenty trillion, eleven billion, twenty million, three hundred thirteen thousand, one hundred thirty-one".