13130333101000 has 32 divisors (see below), whose sum is σ = 30724979458680. Its totient is φ = 5252133240000.

The previous prime is 13130333100953. The next prime is 13130333101007. The reversal of 13130333101000 is 10133303131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7055005327876 + 6075327773124 = 2656126^2 + 2464818^2 .

It is not an unprimeable number, because it can be changed into a prime (13130333101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6565165551 + ... + 6565167550.

Almost surely, 2^{13130333101000} is an apocalyptic number.

13130333101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130333101000 is an abundant number, since it is smaller than the sum of its proper divisors (17594646357680).

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

13130333101000 is a wasteful number, since it uses less digits than its factorization.

13130333101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130333122 (or 13130333108 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13130333101000 its reverse (10133303131), we get a palindrome (13140466404131).

The spelling of 13130333101000 in words is "thirteen trillion, one hundred thirty billion, three hundred thirty-three million, one hundred one thousand".