10361113101 has 12 divisors (see below), whose sum is σ = 14967055740. Its totient is φ = 6906945600.

The previous prime is 10361113067. The next prime is 10361113123. The reversal of 10361113101 is 10131116301.

It can be written as a sum of positive squares in 2 ways, for example, as 3434546025 + 6926567076 = 58605^2 + 83226^2 .

It is not a de Polignac number, because 10361113101 - 2⁷ = 10361112973 is a prime.

It is a super-3 number, since 3×10361113101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10361118101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153315 + ... + 210303.

It is an arithmetic number, because the mean of its divisors is an integer number (1247254645).

Almost surely, 2^10361113101 is an apocalyptic number.

It is an amenable number.

10361113101 is a deficient number, since it is larger than the sum of its proper divisors (4605942639).

10361113101 is a wasteful number, since it uses less digits than its factorization.

10361113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77196 (or 77193 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10361113101 its reverse (10131116301), we get a palindrome (20492229402).

The spelling of 10361113101 in words is "ten billion, three hundred sixty-one million, one hundred thirteen thousand, one hundred one".