13263130327860 has 1152 divisors, whose sum is σ = 51390546278400. Its totient is φ = 2823165757440.

The previous prime is 13263130327847. The next prime is 13263130327883. The reversal of 13263130327860 is 6872303136231.

13263130327860 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 313 + 0 + 3 + 278 + 60 = 666.

It is a super-2 number, since 2×13263130327860² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19194110115 + ... + 19194110805.

It is an arithmetic number, because the mean of its divisors is an integer number (44609849200).

Almost surely, 2^{13263130327860} is an apocalyptic number.

13263130327860 is a gapful number since it is divisible by the number (10) 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 13263130327860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695273139200).

13263130327860 is an abundant number, since it is smaller than the sum of its proper divisors (38127415950540).

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

13263130327860 is a wasteful number, since it uses less digits than its factorization.

13263130327860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13263130327860 in words is "thirteen trillion, two hundred sixty-three billion, one hundred thirty million, three hundred twenty-seven thousand, eight hundred sixty".