13102312032 has 192 divisors, whose sum is σ = 39148220160. Its totient is φ = 4262049792.

The previous prime is 13102312031. The next prime is 13102312057. The reversal of 13102312032 is 23021320131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13102311996 and 13102312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102312031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6540343 + ... + 6542345.

It is an arithmetic number, because the mean of its divisors is an integer number (203896980).

Almost surely, 2^13102312032 is an apocalyptic number.

13102312032 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 13102312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574110080).

13102312032 is an abundant number, since it is smaller than the sum of its proper divisors (26045908128).

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

13102312032 is a wasteful number, since it uses less digits than its factorization.

13102312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13102312032 its reverse (23021320131), we get a palindrome (36123632163).

The spelling of 13102312032 in words is "thirteen billion, one hundred two million, three hundred twelve thousand, thirty-two".