3131332003200 has 192 divisors, whose sum is σ = 10314970156800. Its totient is φ = 834929141760.

The previous prime is 3131332003193. The next prime is 3131332003201. The reversal of 3131332003200 is 23002331313.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3131332003200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131332003201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160876669 + ... + 160896131.

It is an arithmetic number, because the mean of its divisors is an integer number (53723802900).

Almost surely, 2^{3131332003200} is an apocalyptic number.

3131332003200 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 3131332003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157485078400).

3131332003200 is an abundant number, since it is smaller than the sum of its proper divisors (7183638153600).

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

3131332003200 is a wasteful number, since it uses less digits than its factorization.

3131332003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36249 (or 36232 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3131332003200 its reverse (23002331313), we get a palindrome (3154334334513).

The spelling of 3131332003200 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-two million, three thousand, two hundred".