10211002012313 has 8 divisors (see below), whose sum is σ = 10655487180288. Its totient is φ = 9766560890944.

The previous prime is 10211002012259. The next prime is 10211002012361. The reversal of 10211002012313 is 31321020011201.

10211002012313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10211002012313 - 2⁶ = 10211002012249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211002012291 and 10211002012300.

It is not an unprimeable number, because it can be changed into a prime (10211002012363) 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, 10537481 + ... + 11465622.

It is an arithmetic number, because the mean of its divisors is an integer number (1331935897536).

Almost surely, 2^{10211002012313} is an apocalyptic number.

It is an amenable number.

10211002012313 is a deficient number, since it is larger than the sum of its proper divisors (444485167975).

10211002012313 is a wasteful number, since it uses less digits than its factorization.

10211002012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22023303.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10211002012313 its reverse (31321020011201), we get a palindrome (41532022023514).

The spelling of 10211002012313 in words is "ten trillion, two hundred eleven billion, two million, twelve thousand, three hundred thirteen".