10220120313 has 16 divisors (see below), whose sum is σ = 14677333440. Its totient is φ = 6288323904.

The previous prime is 10220120237. The next prime is 10220120321. The reversal of 10220120313 is 31302102201.

It is not a de Polignac number, because 10220120313 - 2¹³ = 10220112121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220120292 and 10220120301.

It is not an unprimeable number, because it can be changed into a prime (10220125313) 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, 294103 + ... + 327011.

It is an arithmetic number, because the mean of its divisors is an integer number (917333340).

Almost surely, 2^10220120313 is an apocalyptic number.

10220120313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10220120313 is a deficient number, since it is larger than the sum of its proper divisors (4457213127).

10220120313 is a wasteful number, since it uses less digits than its factorization.

10220120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40888.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10220120313 its reverse (31302102201), we get a palindrome (41522222514).

The spelling of 10220120313 in words is "ten billion, two hundred twenty million, one hundred twenty thousand, three hundred thirteen".