130541145031 has 16 divisors (see below), whose sum is σ = 144764189856. Its totient is φ = 116711280000.

The previous prime is 130541145019. The next prime is 130541145061.

130541145031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 130541145031 - 2¹³ = 130541136839 is a prime.

It is a super-2 number, since 2×130541145031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130541145061) 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 15 ways as a sum of consecutive naturals, for example, 7789321 + ... + 7806061.

It is an arithmetic number, because the mean of its divisors is an integer number (9047761866).

Almost surely, 2^130541145031 is an apocalyptic number.

130541145031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130541145031 is a deficient number, since it is larger than the sum of its proper divisors (14223044825).

130541145031 is a wasteful number, since it uses less digits than its factorization.

130541145031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28434.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 130541 and 145031, that added together give a palindrome (275572).

The spelling of 130541145031 in words is "one hundred thirty billion, five hundred forty-one million, one hundred forty-five thousand, thirty-one".