10220120001313 has 8 divisors (see below), whose sum is σ = 10825268879880. Its totient is φ = 9615411717120.

The previous prime is 10220120001239. The next prime is 10220120001353. The reversal of 10220120001313 is 31310002102201.

10220120001313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4478882297569 + 5741237703744 = 2116337^2 + 2396088^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10220120001313 - 2⁹ = 10220120000801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220120001353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110100828 + ... + 110193613.

It is an arithmetic number, because the mean of its divisors is an integer number (1353158609985).

Almost surely, 2^{10220120001313} is an apocalyptic number.

It is an amenable number.

10220120001313 is a deficient number, since it is larger than the sum of its proper divisors (605148878567).

10220120001313 is a wasteful number, since it uses less digits than its factorization.

10220120001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220297187.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10220120001313 its reverse (31310002102201), we get a palindrome (41530122103514).

The spelling of 10220120001313 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, one thousand, three hundred thirteen".