12013101301032 has 256 divisors, whose sum is σ = 38181580416000. Its totient is φ = 3469066009344.

The previous prime is 12013101301031. The next prime is 12013101301039. The reversal of 12013101301032 is 23010310131021.

12013101301032 is a `hidden beast` number, since 1 + 20 + 1 + 310 + 1 + 301 + 0 + 32 = 666.

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 = 12013101300996 and 12013101301014.

It is not an unprimeable number, because it can be changed into a prime (12013101301031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4656483 + ... + 6760845.

It is an arithmetic number, because the mean of its divisors is an integer number (149146798500).

Almost surely, 2^{12013101301032} is an apocalyptic number.

12013101301032 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 12013101301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19090790208000).

12013101301032 is an abundant number, since it is smaller than the sum of its proper divisors (26168479114968).

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

12013101301032 is a wasteful number, since it uses less digits than its factorization.

12013101301032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104517 (or 2104507 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12013101301032 its reverse (23010310131021), we get a palindrome (35023411432053).

The spelling of 12013101301032 in words is "twelve trillion, thirteen billion, one hundred one million, three hundred one thousand, thirty-two".