120333101213 has 16 divisors (see below), whose sum is σ = 132205394160. Its totient is φ = 108856602624.

The previous prime is 120333101197. The next prime is 120333101219. The reversal of 120333101213 is 312101333021.

It can be written as a sum of positive squares in 8 ways, for example, as 88350428644 + 31982672569 = 297238^2 + 178837^2 .

It is a cyclic number.

It is not a de Polignac number, because 120333101213 - 2⁴ = 120333101197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120333101219) 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, 329456 + ... + 590937.

It is an arithmetic number, because the mean of its divisors is an integer number (8262837135).

Almost surely, 2^120333101213 is an apocalyptic number.

120333101213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120333101213 is a deficient number, since it is larger than the sum of its proper divisors (11872292947).

120333101213 is a wasteful number, since it uses less digits than its factorization.

120333101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920608.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120333101213 its reverse (312101333021), we get a palindrome (432434434234).

It can be divided in two parts, 120 and 333101213, that added together give a palindrome (333101333).

The spelling of 120333101213 in words is "one hundred twenty billion, three hundred thirty-three million, one hundred one thousand, two hundred thirteen".