131820028131 has 32 divisors (see below), whose sum is σ = 197669564928. Its totient is φ = 77435965440.

The previous prime is 131820028121. The next prime is 131820028141.

131820028131 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (131820028121) and next prime (131820028141).

It is not a de Polignac number, because 131820028131 - 2¹⁹ = 131819503843 is a prime.

It is a super-2 number, since 2×131820028131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131820028121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115875 + ... + 526371.

It is an arithmetic number, because the mean of its divisors is an integer number (6177173904).

Almost surely, 2^131820028131 is an apocalyptic number.

131820028131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131820028131 is a deficient number, since it is larger than the sum of its proper divisors (65849536797).

131820028131 is a wasteful number, since it uses less digits than its factorization.

131820028131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410811.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 131820028131 in words is "one hundred thirty-one billion, eight hundred twenty million, twenty-eight thousand, one hundred thirty-one".