13031031660248 has 256 divisors, whose sum is σ = 30702197145600. Its totient is φ = 5059454400000.

The previous prime is 13031031660247. The next prime is 13031031660253. The reversal of 13031031660248 is 84206613013031.

It is a super-2 number, since 2×13031031660248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031031660247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822263473 + ... + 1822270623.

It is an arithmetic number, because the mean of its divisors is an integer number (119930457600).

Almost surely, 2^{13031031660248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031031660248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351098572800).

13031031660248 is an abundant number, since it is smaller than the sum of its proper divisors (17671165485352).

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

13031031660248 is a wasteful number, since it uses less digits than its factorization.

13031031660248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

Adding to 13031031660248 its reverse (84206613013031), we get a palindrome (97237644673279).

The spelling of 13031031660248 in words is "thirteen trillion, thirty-one billion, thirty-one million, six hundred sixty thousand, two hundred forty-eight".