10021022002313 has 24 divisors (see below), whose sum is σ = 12175793059584. Its totient is φ = 8077616640000.

The previous prime is 10021022002307. The next prime is 10021022002351. The reversal of 10021022002313 is 31320022012001.

10021022002313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021022002313 - 2⁴ = 10021022002297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 10021022002291 and 10021022002300.

It is not an unprimeable number, because it can be changed into a prime (10021022002393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478313 + ... + 4502313.

It is an arithmetic number, because the mean of its divisors is an integer number (507324710816).

Almost surely, 2^{10021022002313} is an apocalyptic number.

It is an amenable number.

10021022002313 is a deficient number, since it is larger than the sum of its proper divisors (2154771057271).

10021022002313 is a wasteful number, since it uses less digits than its factorization.

10021022002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025273 (or 4025256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10021022002313 its reverse (31320022012001), we get a palindrome (41341044014314).

The spelling of 10021022002313 in words is "ten trillion, twenty-one billion, twenty-two million, two thousand, three hundred thirteen".