10002131001 has 12 divisors (see below), whose sum is σ = 14945713380. Its totient is φ = 6438153120.

The previous prime is 10002130981. The next prime is 10002131017. The reversal of 10002131001 is 10013120001.

It can be written as a sum of positive squares in 2 ways, for example, as 8533325376 + 1468805625 = 92376^2 + 38325^2 .

It is not a de Polignac number, because 10002131001 - 2¹¹ = 10002128953 is a prime.

It is a super-2 number, since 2×10002131001² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19160910 + ... + 19161431.

It is an arithmetic number, because the mean of its divisors is an integer number (1245476115).

Almost surely, 2^10002131001 is an apocalyptic number.

It is an amenable number.

10002131001 is a deficient number, since it is larger than the sum of its proper divisors (4943582379).

10002131001 is a wasteful number, since it uses less digits than its factorization.

10002131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38322376 (or 38322373 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10002131001 its reverse (10013120001), we get a palindrome (20015251002).

The spelling of 10002131001 in words is "ten billion, two million, one hundred thirty-one thousand, one".