13135011300 has 144 divisors (see below), whose sum is σ = 42277849600. Its totient is φ = 3498422400.

The previous prime is 13135011251. The next prime is 13135011311. The reversal of 13135011300 is 311053131.

13135011300 is a `hidden beast` number, since 1 + 3 + 1 + 350 + 11 + 300 = 666.

It is a super-2 number, since 2×13135011300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2673246 + ... + 2678154.

Almost surely, 2^13135011300 is an apocalyptic number.

13135011300 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 13135011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138924800).

13135011300 is an abundant number, since it is smaller than the sum of its proper divisors (29142838300).

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

13135011300 is a wasteful number, since it uses less digits than its factorization.

13135011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 13135011300 its reverse (311053131), we get a palindrome (13446064431).

The spelling of 13135011300 in words is "thirteen billion, one hundred thirty-five million, eleven thousand, three hundred".