10013103204132 has 192 divisors, whose sum is σ = 27202408611840. Its totient is φ = 2807800257024.

The previous prime is 10013103204131. The next prime is 10013103204163. The reversal of 10013103204132 is 23140230131001.

It is a super-3 number, since 3×10013103204132³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10013103204099 and 10013103204108.

It is not an unprimeable number, because it can be changed into a prime (10013103204131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759309643 + ... + 759322829.

It is an arithmetic number, because the mean of its divisors is an integer number (141679211520).

Almost surely, 2^{10013103204132} is an apocalyptic number.

10013103204132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013103204132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601204305920).

10013103204132 is an abundant number, since it is smaller than the sum of its proper divisors (17189305407708).

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

10013103204132 is a wasteful number, since it uses less digits than its factorization.

10013103204132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14090 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10013103204132 its reverse (23140230131001), we get a palindrome (33153333335133).

The spelling of 10013103204132 in words is "ten trillion, thirteen billion, one hundred three million, two hundred four thousand, one hundred thirty-two".