13120001300 has 72 divisors (see below), whose sum is σ = 32756236800. Its totient is φ = 4468060800.

The previous prime is 13120001299. The next prime is 13120001309. The reversal of 13120001300 is 310002131.

It is a super-2 number, since 2×13120001300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120001309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41405 + ... + 167195.

Almost surely, 2^13120001300 is an apocalyptic number.

13120001300 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 13120001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378118400).

13120001300 is an abundant number, since it is smaller than the sum of its proper divisors (19636235500).

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

13120001300 is a wasteful number, since it uses less digits than its factorization.

13120001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125961 (or 125954 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13120001300 its reverse (310002131), we get a palindrome (13430003431).

The spelling of 13120001300 in words is "thirteen billion, one hundred twenty million, one thousand, three hundred".