10302313331101 has 12 divisors (see below), whose sum is σ = 11360209408156. Its totient is φ = 9335816867520.

The previous prime is 10302313331017. The next prime is 10302313331111. The reversal of 10302313331101 is 10113331320301.

It can be written as a sum of positive squares in 2 ways, for example, as 648081351225 + 9654231979876 = 805035^2 + 3107126^2 .

It is not a de Polignac number, because 10302313331101 - 2⁷ = 10302313330973 is a prime.

It is a super-2 number, since 2×10302313331101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302313331111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135973446 + ... + 136049191.

Almost surely, 2^{10302313331101} is an apocalyptic number.

10302313331101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10302313331101 is a deficient number, since it is larger than the sum of its proper divisors (1057896077055).

10302313331101 is a wasteful number, since it uses less digits than its factorization.

10302313331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272022972 (or 272022961 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10302313331101 its reverse (10113331320301), we get a palindrome (20415644651402).

The spelling of 10302313331101 in words is "ten trillion, three hundred two billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred one".