3131122203232 has 48 divisors (see below), whose sum is σ = 6310281922560. Its totient is φ = 1528540094592.

The previous prime is 3131122203193. The next prime is 3131122203247. The reversal of 3131122203232 is 2323022211313.

It is a super-2 number, since 2×3131122203232² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131122203197 and 3131122203206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989569 + ... + 3898687.

It is an arithmetic number, because the mean of its divisors is an integer number (131464206720).

Almost surely, 2^{3131122203232} is an apocalyptic number.

3131122203232 is a gapful number since it is divisible by the number (32) 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 3131122203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155140961280).

3131122203232 is an abundant number, since it is smaller than the sum of its proper divisors (3179159719328).

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

3131122203232 is a wasteful number, since it uses less digits than its factorization.

3131122203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911675 (or 911667 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3131122203232 its reverse (2323022211313), we get a palindrome (5454144414545).

The spelling of 3131122203232 in words is "three trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred three thousand, two hundred thirty-two".