130033330031 has 16 divisors (see below), whose sum is σ = 143423440128. Its totient is φ = 116911608000.

The previous prime is 130033330003. The next prime is 130033330067.

130033330031 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-130033330031 is a prime.

It is a super-2 number, since 2×130033330031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130033329985 and 130033330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130033300031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204611 + ... + 549483.

It is an arithmetic number, because the mean of its divisors is an integer number (8963965008).

Almost surely, 2^130033330031 is an apocalyptic number.

130033330031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130033330031 is a deficient number, since it is larger than the sum of its proper divisors (13390110097).

130033330031 is a wasteful number, since it uses less digits than its factorization.

130033330031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345262.

The product of its (nonzero) digits is 729, while the sum is 20.

It can be divided in two parts, 130033 and 330031, that added together give a palindrome (460064).

The spelling of 130033330031 in words is "one hundred thirty billion, thirty-three million, three hundred thirty thousand, thirty-one".