3201113013120 has 384 divisors, whose sum is σ = 12089207875680. Its totient is φ = 774066585600.

The previous prime is 3201113013101. The next prime is 3201113013173. The reversal of 3201113013120 is 213103111023.

3201113013120 is a `hidden beast` number, since 320 + 1 + 1 + 1 + 30 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 3201113013093 and 3201113013102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25090290 + ... + 25217550.

Almost surely, 2^{3201113013120} is an apocalyptic number.

3201113013120 is a gapful number since it is divisible by the number (30) 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 3201113013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044603937840).

3201113013120 is an abundant number, since it is smaller than the sum of its proper divisors (8888094862560).

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

3201113013120 is a wasteful number, since it uses less digits than its factorization.

3201113013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127694 (or 127679 counting only the distinct ones).

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

Adding to 3201113013120 its reverse (213103111023), we get a palindrome (3414216124143).

The spelling of 3201113013120 in words is "three trillion, two hundred one billion, one hundred thirteen million, thirteen thousand, one hundred twenty".