3231133113120 has 384 divisors, whose sum is σ = 11423532072960. Its totient is φ = 761037742080.

The previous prime is 3231133113101. The next prime is 3231133113133. The reversal of 3231133113120 is 213113311323.

It is a super-2 number, since 2×3231133113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25761921 + ... + 25887039.

It is an arithmetic number, because the mean of its divisors is an integer number (29748781440).

Almost surely, 2^{3231133113120} is an apocalyptic number.

3231133113120 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 3231133113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711766036480).

3231133113120 is an abundant number, since it is smaller than the sum of its proper divisors (8192398959840).

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

3231133113120 is a wasteful number, since it uses less digits than its factorization.

3231133113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125288 (or 125280 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3231133113120 its reverse (213113311323), we get a palindrome (3444246424443).

The spelling of 3231133113120 in words is "three trillion, two hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".