10035013131 has 80 divisors (see below), whose sum is σ = 18180062208. Its totient is φ = 5432702400.

The previous prime is 10035013111. The next prime is 10035013151. The reversal of 10035013131 is 13131053001.

10035013131 is a `hidden beast` number, since 1 + 0 + 0 + 350 + 1 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10035013111) and next prime (10035013151).

It is not a de Polignac number, because 10035013131 - 2¹¹ = 10035011083 is a prime.

It is a super-2 number, since 2×10035013131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10035013111) 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 79 ways as a sum of consecutive naturals, for example, 345100 + ... + 373046.

Almost surely, 2^10035013131 is an apocalyptic number.

10035013131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10035013131 is a deficient number, since it is larger than the sum of its proper divisors (8145049077).

10035013131 is a wasteful number, since it uses less digits than its factorization.

10035013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28014 (or 28005 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 10035013131 its reverse (13131053001), we get a palindrome (23166066132).

The spelling of 10035013131 in words is "ten billion, thirty-five million, thirteen thousand, one hundred thirty-one".