13031222131300 has 36 divisors (see below), whose sum is σ = 28557729789876. Its totient is φ = 5160880048000.

The previous prime is 13031222131261. The next prime is 13031222131307. The reversal of 13031222131300 is 313122213031.

It can be written as a sum of positive squares in 6 ways, for example, as 2693852559616 + 10337369571684 = 1641296^2 + 3215178^2 .

It is a super-3 number, since 3×13031222131300³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13031222131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645099907 + ... + 645120106.

It is an arithmetic number, because the mean of its divisors is an integer number (793270271941).

Almost surely, 2^{13031222131300} is an apocalyptic number.

13031222131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031222131300 is an abundant number, since it is smaller than the sum of its proper divisors (15526507658576).

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

13031222131300 is a wasteful number, since it uses less digits than its factorization.

13031222131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290220128 (or 1290220121 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13031222131300 its reverse (313122213031), we get a palindrome (13344344344331).

The spelling of 13031222131300 in words is "thirteen trillion, thirty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred".