10010343013131 has 16 divisors (see below), whose sum is σ = 13374607363200. Its totient is φ = 6659834443008.

The previous prime is 10010343013049. The next prime is 10010343013159. The reversal of 10010343013131 is 13131034301001.

It is not a de Polignac number, because 10010343013131 - 2⁹ = 10010343012619 is a prime.

It is a super-2 number, since 2×10010343013131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010343013098 and 10010343013107.

It is not an unprimeable number, because it can be changed into a prime (10010343013171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077540 + ... + 4602366.

It is an arithmetic number, because the mean of its divisors is an integer number (835912960200).

Almost surely, 2^{10010343013131} is an apocalyptic number.

10010343013131 is a deficient number, since it is larger than the sum of its proper divisors (3364264350069).

10010343013131 is a wasteful number, since it uses less digits than its factorization.

10010343013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526778.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10010343013131 its reverse (13131034301001), we get a palindrome (23141377314132).

The spelling of 10010343013131 in words is "ten trillion, ten billion, three hundred forty-three million, thirteen thousand, one hundred thirty-one".