131432515400205 has 48 divisors (see below), whose sum is σ = 228374695261440. Its totient is φ = 69925588502400.

The previous prime is 131432515400129. The next prime is 131432515400231. The reversal of 131432515400205 is 502004515234131.

131432515400205 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 32 + 5 + 15 + 400 + 205 = 666.

It is not a de Polignac number, because 131432515400205 - 2¹² = 131432515396109 is a prime.

It is a super-3 number, since 3×131432515400205³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131432515400205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149698986 + ... + 150574404.

It is an arithmetic number, because the mean of its divisors is an integer number (4757806151280).

Almost surely, 2^{131432515400205} is an apocalyptic number.

131432515400205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131432515400205 is a deficient number, since it is larger than the sum of its proper divisors (96942179861235).

131432515400205 is a wasteful number, since it uses less digits than its factorization.

131432515400205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883602 (or 883599 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 131432515400205 in words is "one hundred thirty-one trillion, four hundred thirty-two billion, five hundred fifteen million, four hundred thousand, two hundred five".