120213331311313 has 16 divisors (see below), whose sum is σ = 124825092670800. Its totient is φ = 115632697098240.

The previous prime is 120213331311301. The next prime is 120213331311329. The reversal of 120213331311313 is 313113133312021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4178704579344 + 116034626731969 = 2044188^2 + 10771937^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120213331311313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120213331311373) 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, 248399533 + ... + 248883013.

It is an arithmetic number, because the mean of its divisors is an integer number (7801568291925).

Almost surely, 2^{120213331311313} is an apocalyptic number.

It is an amenable number.

120213331311313 is a deficient number, since it is larger than the sum of its proper divisors (4611761359487).

120213331311313 is a wasteful number, since it uses less digits than its factorization.

120213331311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515652.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 120213331311313 its reverse (313113133312021), we get a palindrome (433326464623334).

The spelling of 120213331311313 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred thirty-one million, three hundred eleven thousand, three hundred thirteen".