10133414104 has 64 divisors (see below), whose sum is σ = 21023362080. Its totient is φ = 4578640000.

The previous prime is 10133414089. The next prime is 10133414107. The reversal of 10133414104 is 40141433101.

It is a happy number.

It is a super-2 number, since 2×10133414104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133414107) 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, 1839354 + ... + 1844854.

Almost surely, 2^10133414104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511681040).

10133414104 is an abundant number, since it is smaller than the sum of its proper divisors (10889947976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133414104 is a wasteful number, since it uses less digits than its factorization.

10133414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10133414104 its reverse (40141433101), we get a palindrome (50274847205).

The spelling of 10133414104 in words is "ten billion, one hundred thirty-three million, four hundred fourteen thousand, one hundred four".