10002104414133 has 16 divisors (see below), whose sum is σ = 14362057859520. Its totient is φ = 6155114701824.

The previous prime is 10002104414123. The next prime is 10002104414167. The reversal of 10002104414133 is 33141440120001.

It is not a de Polignac number, because 10002104414133 - 2¹⁰ = 10002104413109 is a prime.

It is a super-2 number, since 2×10002104414133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002104414123) 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, 12601638 + ... + 13371816.

It is an arithmetic number, because the mean of its divisors is an integer number (897628616220).

Almost surely, 2^{10002104414133} is an apocalyptic number.

10002104414133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002104414133 is a deficient number, since it is larger than the sum of its proper divisors (4359953445387).

10002104414133 is a wasteful number, since it uses less digits than its factorization.

10002104414133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103188.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10002104414133 its reverse (33141440120001), we get a palindrome (43143544534134).

The spelling of 10002104414133 in words is "ten trillion, two billion, one hundred four million, four hundred fourteen thousand, one hundred thirty-three".