131027618353 has 8 divisors (see below), whose sum is σ = 131152399400. Its totient is φ = 130902887808.

The previous prime is 131027618291. The next prime is 131027618383. The reversal of 131027618353 is 353816720131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59891793984 + 71135824369 = 244728^2 + 266713^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131027618353 - 2²¹ = 131025521201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131027618383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6861703 + ... + 6880771.

It is an arithmetic number, because the mean of its divisors is an integer number (16394049925).

Almost surely, 2^131027618353 is an apocalyptic number.

It is an amenable number.

131027618353 is a deficient number, since it is larger than the sum of its proper divisors (124781047).

131027618353 is a wasteful number, since it uses less digits than its factorization.

131027618353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25251.

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 131027618353 in words is "one hundred thirty-one billion, twenty-seven million, six hundred eighteen thousand, three hundred fifty-three".