13061123265400 has 192 divisors, whose sum is σ = 35299565683200. Its totient is φ = 4401442306560.

The previous prime is 13061123265397. The next prime is 13061123265413. The reversal of 13061123265400 is 456232116031.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 695730414 + ... + 695749186.

It is an arithmetic number, because the mean of its divisors is an integer number (183851904600).

Almost surely, 2^{13061123265400} is an apocalyptic number.

13061123265400 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 13061123265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649782841600).

13061123265400 is an abundant number, since it is smaller than the sum of its proper divisors (22238442417800).

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

13061123265400 is a wasteful number, since it uses less digits than its factorization.

13061123265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27278 (or 27269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13061123265400 in words is "thirteen trillion, sixty-one billion, one hundred twenty-three million, two hundred sixty-five thousand, four hundred".