130333002131101 has 48 divisors (see below), whose sum is σ = 167765503043520. Its totient is φ = 100104205259520.

The previous prime is 130333002131089. The next prime is 130333002131117. The reversal of 130333002131101 is 101131200333031.

It is not a de Polignac number, because 130333002131101 - 2¹¹ = 130333002129053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130333002131191) 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 47 ways as a sum of consecutive naturals, for example, 61800090 + ... + 63874228.

It is an arithmetic number, because the mean of its divisors is an integer number (3495114646740).

Almost surely, 2^{130333002131101} is an apocalyptic number.

130333002131101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130333002131101 is a deficient number, since it is larger than the sum of its proper divisors (37432500912419).

130333002131101 is a wasteful number, since it uses less digits than its factorization.

130333002131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075834 (or 2075827 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 130333002131101 its reverse (101131200333031), we get a palindrome (231464202464132).

The spelling of 130333002131101 in words is "one hundred thirty trillion, three hundred thirty-three billion, two million, one hundred thirty-one thousand, one hundred one".