210120313313131 has 16 divisors (see below), whose sum is σ = 227599010543520. Its totient is φ = 192829633274880.

The previous prime is 210120313313081. The next prime is 210120313313161. The reversal of 210120313313131 is 131313313021012.

It is a cyclic number.

It is not a de Polignac number, because 210120313313131 - 2⁷ = 210120313313003 is a prime.

It is a super-2 number, since 2×210120313313131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210120313313096 and 210120313313105.

It is not an unprimeable number, because it can be changed into a prime (210120313313161) 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, 66467280 + ... + 69556738.

It is an arithmetic number, because the mean of its divisors is an integer number (14224938158970).

Almost surely, 2^{210120313313131} is an apocalyptic number.

210120313313131 is a deficient number, since it is larger than the sum of its proper divisors (17478697230389).

210120313313131 is a wasteful number, since it uses less digits than its factorization.

210120313313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119886.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 210120313313131 its reverse (131313313021012), we get a palindrome (341433626334143).

The spelling of 210120313313131 in words is "two hundred ten trillion, one hundred twenty billion, three hundred thirteen million, three hundred thirteen thousand, one hundred thirty-one".