10302313034013 has 128 divisors (see below), whose sum is σ = 18703706112000. Its totient is φ = 4870599552000.

The previous prime is 10302313033997. The next prime is 10302313034033. The reversal of 10302313034013 is 31043031320301.

It is a happy number.

It is not a de Polignac number, because 10302313034013 - 2⁴ = 10302313033997 is a prime.

It is a super-2 number, since 2×10302313034013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302313034033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166272163 + ... + 166334111.

It is an arithmetic number, because the mean of its divisors is an integer number (146122704000).

Almost surely, 2^{10302313034013} is an apocalyptic number.

10302313034013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10302313034013 is a deficient number, since it is larger than the sum of its proper divisors (8401393077987).

10302313034013 is a wasteful number, since it uses less digits than its factorization.

10302313034013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62763.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10302313034013 its reverse (31043031320301), we get a palindrome (41345344354314).

The spelling of 10302313034013 in words is "ten trillion, three hundred two billion, three hundred thirteen million, thirty-four thousand, thirteen".