131064154362570 has 256 divisors, whose sum is σ = 378684465901056. Its totient is φ = 28604233728000.

The previous prime is 131064154362523. The next prime is 131064154362697. The reversal of 131064154362570 is 75263451460131.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 538277574 + ... + 538521006.

It is an arithmetic number, because the mean of its divisors is an integer number (1479236194926).

Almost surely, 2^{131064154362570} is an apocalyptic number.

131064154362570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131064154362570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189342232950528).

131064154362570 is an abundant number, since it is smaller than the sum of its proper divisors (247620311538486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131064154362570 is a wasteful number, since it uses less digits than its factorization.

131064154362570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246569.

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 131064154362570 in words is "one hundred thirty-one trillion, sixty-four billion, one hundred fifty-four million, three hundred sixty-two thousand, five hundred seventy".