13023510500 has 192 divisors, whose sum is σ = 38191136256. Its totient is φ = 3746880000.

The previous prime is 13023510481. The next prime is 13023510517. The reversal of 13023510500 is 501532031.

13023510500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13023510500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487490 + ... + 513510.

It is an arithmetic number, because the mean of its divisors is an integer number (198912168).

Almost surely, 2^13023510500 is an apocalyptic number.

13023510500 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 13023510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19095568128).

13023510500 is an abundant number, since it is smaller than the sum of its proper divisors (25167625756).

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

13023510500 is a wasteful number, since it uses less digits than its factorization.

13023510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26071 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 13023510500 in words is "thirteen billion, twenty-three million, five hundred ten thousand, five hundred".