13031124650208 has 384 divisors, whose sum is σ = 44548745472000. Its totient is φ = 3704262492672.

The previous prime is 13031124650197. The next prime is 13031124650213. The reversal of 13031124650208 is 80205642113031.

13031124650208 is a `hidden beast` number, since 1 + 30 + 3 + 112 + 4 + 6 + 502 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 58269741 + ... + 58492947.

It is an arithmetic number, because the mean of its divisors is an integer number (116012358000).

Almost surely, 2^{13031124650208} is an apocalyptic number.

13031124650208 is a gapful number since it is divisible by the number (18) 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 13031124650208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274372736000).

13031124650208 is an abundant number, since it is smaller than the sum of its proper divisors (31517620821792).

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

13031124650208 is a wasteful number, since it uses less digits than its factorization.

13031124650208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223444 (or 223416 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13031124650208 its reverse (80205642113031), we get a palindrome (93236766763239).

The spelling of 13031124650208 in words is "thirteen trillion, thirty-one billion, one hundred twenty-four million, six hundred fifty thousand, two hundred eight".