10031010001131 has 20 divisors (see below), whose sum is σ = 15602864935912. Its totient is φ = 5732005710816.

The previous prime is 10031010001123. The next prime is 10031010001157. The reversal of 10031010001131 is 13110001013001.

It is not a de Polignac number, because 10031010001131 - 2³ = 10031010001123 is a prime.

It is a super-2 number, since 2×10031010001131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031010001171) 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 19 ways as a sum of consecutive naturals, for example, 696300586 + ... + 696314991.

Almost surely, 2^{10031010001131} is an apocalyptic number.

10031010001131 is a deficient number, since it is larger than the sum of its proper divisors (5571854934781).

10031010001131 is an frugal number, since it uses more digits than its factorization.

10031010001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392615608 (or 1392615587 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10031010001131 its reverse (13110001013001), we get a palindrome (23141011014132).

The spelling of 10031010001131 in words is "ten trillion, thirty-one billion, ten million, one thousand, one hundred thirty-one".