131300020003131 has 24 divisors (see below), whose sum is σ = 216898413120480. Its totient is φ = 74976945791616.

The previous prime is 131300020003121. The next prime is 131300020003181.

It is a happy number.

131300020003131 is a `hidden beast` number, since 1 + 31 + 300 + 0 + 20 + 0 + 0 + 313 + 1 = 666.

131300020003131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131300020003131 - 2⁷ = 131300020003003 is a prime.

It is a super-2 number, since 2×131300020003131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131300020003121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717089226 + ... + 717272303.

It is an arithmetic number, because the mean of its divisors is an integer number (9037433880020).

Almost surely, 2^{131300020003131} is an apocalyptic number.

131300020003131 is a deficient number, since it is larger than the sum of its proper divisors (85598393117349).

131300020003131 is a wasteful number, since it uses less digits than its factorization.

131300020003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434362995 (or 1434362992 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The spelling of 131300020003131 in words is "one hundred thirty-one trillion, three hundred billion, twenty million, three thousand, one hundred thirty-one".