10002123131 has 16 divisors (see below), whose sum is σ = 13429425408. Its totient is φ = 7194333600.

The previous prime is 10002123121. The next prime is 10002123181. The reversal of 10002123131 is 13132120001.

It is a cyclic number.

It is not a de Polignac number, because 10002123131 - 2³⁰ = 8928381307 is a prime.

It is a super-2 number, since 2×10002123131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002123101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4995065 + ... + 4997066.

It is an arithmetic number, because the mean of its divisors is an integer number (839339088).

Almost surely, 2^10002123131 is an apocalyptic number.

10002123131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002123131 is a deficient number, since it is larger than the sum of its proper divisors (3427302277).

10002123131 is a wasteful number, since it uses less digits than its factorization.

10002123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992162.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10002123131 its reverse (13132120001), we get a palindrome (23134243132).

The spelling of 10002123131 in words is "ten billion, two million, one hundred twenty-three thousand, one hundred thirty-one".