13010623427520 has 1792 divisors, whose sum is σ = 51596387942400. Its totient is φ = 3072577536000.

The previous prime is 13010623427509. The next prime is 13010623427533. The reversal of 13010623427520 is 2572432601031.

13010623427520 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 623 + 4 + 2 + 7 + 5 + 20 = 666.

13010623427520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 26498214475 + ... + 26498214965.

It is an arithmetic number, because the mean of its divisors is an integer number (28792627200).

Almost surely, 2^{13010623427520} is an apocalyptic number.

13010623427520 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 13010623427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25798193971200).

13010623427520 is an abundant number, since it is smaller than the sum of its proper divisors (38585764514880).

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

13010623427520 is a wasteful number, since it uses less digits than its factorization.

13010623427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13010623427520 in words is "thirteen trillion, ten billion, six hundred twenty-three million, four hundred twenty-seven thousand, five hundred twenty".