13130333100 has 108 divisors (see below), whose sum is σ = 41178926880. Its totient is φ = 3499497600.

The previous prime is 13130333087. The next prime is 13130333101. The reversal of 13130333100 is 133303131.

13130333100 is a `hidden beast` number, since 1 + 31 + 303 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×13130333100² (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 not an unprimeable number, because it can be changed into a prime (13130333101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2507485 + ... + 2512715.

It is an arithmetic number, because the mean of its divisors is an integer number (381286360).

Almost surely, 2^13130333100 is an apocalyptic number.

13130333100 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 13130333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589463440).

13130333100 is an abundant number, since it is smaller than the sum of its proper divisors (28048593780).

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

13130333100 is a wasteful number, since it uses less digits than its factorization.

13130333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13130333100 its reverse (133303131), we get a palindrome (13263636231).

The spelling of 13130333100 in words is "thirteen billion, one hundred thirty million, three hundred thirty-three thousand, one hundred".