131026646016253 has 32 divisors (see below), whose sum is σ = 146350145340000. Its totient is φ = 116474097180672.

The previous prime is 131026646016251. The next prime is 131026646016341. The reversal of 131026646016253 is 352610646620131.

It can be written as a sum of positive squares in 16 ways, for example, as 52376673031929 + 78649972984324 = 7237173^2 + 8868482^2 .

It is a cyclic number.

It is not a de Polignac number, because 131026646016253 - 2¹ = 131026646016251 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131026646016251) 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 31 ways as a sum of consecutive naturals, for example, 1089930213 + ... + 1090050421.

It is an arithmetic number, because the mean of its divisors is an integer number (4573442041875).

Almost surely, 2^{131026646016253} is an apocalyptic number.

131026646016253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131026646016253 is a deficient number, since it is larger than the sum of its proper divisors (15323499323747).

131026646016253 is a wasteful number, since it uses less digits than its factorization.

131026646016253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127729.

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 131026646016253 in words is "one hundred thirty-one trillion, twenty-six billion, six hundred forty-six million, sixteen thousand, two hundred fifty-three".