13010462264600 has 192 divisors, whose sum is σ = 30791594702880. Its totient is φ = 5111930880000.

The previous prime is 13010462264581. The next prime is 13010462264623. The reversal of 13010462264600 is 646226401031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149226940 + ... + 1149238260.

Almost surely, 2^{13010462264600} is an apocalyptic number.

13010462264600 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 13010462264600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395797351440).

13010462264600 is an abundant number, since it is smaller than the sum of its proper divisors (17781132438280).

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

13010462264600 is a wasteful number, since it uses less digits than its factorization.

13010462264600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11902 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 13010462264600 its reverse (646226401031), we get a palindrome (13656688665631).

The spelling of 13010462264600 in words is "thirteen trillion, ten billion, four hundred sixty-two million, two hundred sixty-four thousand, six hundred".