130333140100 has 144 divisors (see below), whose sum is σ = 308907759888. Its totient is φ = 47530229760.

The previous prime is 130333140013. The next prime is 130333140121. The reversal of 130333140100 is 1041333031.

It can be written as a sum of positive squares in 24 ways, for example, as 81882967104 + 48450172996 = 286152^2 + 220114^2 .

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, 14651254 + ... + 14660146.

It is an arithmetic number, because the mean of its divisors is an integer number (2145192777).

Almost surely, 2^130333140100 is an apocalyptic number.

130333140100 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 130333140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154453879944).

130333140100 is an abundant number, since it is smaller than the sum of its proper divisors (178574619788).

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

130333140100 is a wasteful number, since it uses less digits than its factorization.

130333140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 130333140100 its reverse (1041333031), we get a palindrome (131374473131).

It can be divided in two parts, 1303331 and 40100, that added together give a palindrome (1343431).

The spelling of 130333140100 in words is "one hundred thirty billion, three hundred thirty-three million, one hundred forty thousand, one hundred".