10131113120202 has 12 divisors (see below), whose sum is σ = 21950745093810. Its totient is φ = 3377037706728.

The previous prime is 10131113120189. The next prime is 10131113120231. The reversal of 10131113120202 is 20202131113101.

10131113120202 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 131 + 20 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5285175700401 + 4845937419801 = 2298951^2 + 2201349^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 562839617789 = 10131113120202 / (1 + 0 + 1 + 3 + 1 + 1 + 1 + 3 + 1 + 2 + 0 + 2 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281419808877 + ... + 281419808912.

Almost surely, 2^{10131113120202} is an apocalyptic number.

10131113120202 is an abundant number, since it is smaller than the sum of its proper divisors (11819631973608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131113120202 is a wasteful number, since it uses less digits than its factorization.

10131113120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562839617797 (or 562839617794 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131113120202 its reverse (20202131113101), we get a palindrome (30333244233303).

The spelling of 10131113120202 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred twenty thousand, two hundred two".