2013123001032 has 384 divisors, whose sum is σ = 6473648563200. Its totient is φ = 557139340800.

The previous prime is 2013123001031. The next prime is 2013123001081. The reversal of 2013123001032 is 2301003213102.

2013123001032 is a `hidden beast` number, since 20 + 1 + 312 + 300 + 1 + 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 = 2013123000996 and 2013123001014.

It is not an unprimeable number, because it can be changed into a prime (2013123001031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445083523 + ... + 445088045.

It is an arithmetic number, because the mean of its divisors is an integer number (16858459800).

Almost surely, 2^{2013123001032} is an apocalyptic number.

2013123001032 is a gapful number since it is divisible by the number (22) 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 2013123001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236824281600).

2013123001032 is an abundant number, since it is smaller than the sum of its proper divisors (4460525562168).

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

2013123001032 is a wasteful number, since it uses less digits than its factorization.

2013123001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 5002 counting only the distinct ones).

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

Adding to 2013123001032 its reverse (2301003213102), we get a palindrome (4314126214134).

The spelling of 2013123001032 in words is "two trillion, thirteen billion, one hundred twenty-three million, one thousand, thirty-two".