10303312322313 has 48 divisors (see below), whose sum is σ = 15411935884800. Its totient is φ = 6626004768000.

The previous prime is 10303312322207. The next prime is 10303312322351. The reversal of 10303312322313 is 31322321330301.

10303312322313 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 312 + 32 + 2 + 313 = 666.

It is not a de Polignac number, because 10303312322313 - 2¹² = 10303312318217 is a prime.

It is a super-2 number, since 2×10303312322313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10303312322383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109447338 + ... + 109541436.

It is an arithmetic number, because the mean of its divisors is an integer number (321081997600).

Almost surely, 2^{10303312322313} is an apocalyptic number.

It is an amenable number.

10303312322313 is a deficient number, since it is larger than the sum of its proper divisors (5108623562487).

10303312322313 is a wasteful number, since it uses less digits than its factorization.

10303312322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95390 (or 95387 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10303312322313 its reverse (31322321330301), we get a palindrome (41625633652614).

The spelling of 10303312322313 in words is "ten trillion, three hundred three billion, three hundred twelve million, three hundred twenty-two thousand, three hundred thirteen".