10002123133131 has 8 divisors (see below), whose sum is σ = 13416021448704. Its totient is φ = 6628153453160.

The previous prime is 10002123133127. The next prime is 10002123133133. The reversal of 10002123133131 is 13133132120001.

It is a happy number.

10002123133131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002123133131 - 2² = 10002123133127 is a prime.

It is a super-2 number, since 2×10002123133131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002123133098 and 10002123133107.

It is not an unprimeable number, because it can be changed into a prime (10002123133133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9982158315 + ... + 9982159316.

It is an arithmetic number, because the mean of its divisors is an integer number (1677002681088).

Almost surely, 2^{10002123133131} is an apocalyptic number.

10002123133131 is a deficient number, since it is larger than the sum of its proper divisors (3413898315573).

10002123133131 is a wasteful number, since it uses less digits than its factorization.

10002123133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19964317801.

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

Adding to 10002123133131 its reverse (13133132120001), we get a palindrome (23135255253132).

The spelling of 10002123133131 in words is "ten trillion, two billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-one".